Epi,
Several points I will respond to.
First off, the issue of 'arbitrary' testing. As golodhendil pointed out that can be overcome. I trust our health professionals to be able to design reasonable tests. I wonder why you wouldn't have faith in their abilities?
As a physician myself, I know how hard it is to define health. I also know how much controversy each proclamation of new standards is for doctors worldwide by any study, and that standards will often change as new information will often contradict old information. I know that doctors in general are extremely leery of proclaiming that any particular level of health is what you need, because we know that:
1) You can always do better
2) General population-level recommendations mean absolutely NOTHING at the individual level, which is why doctors will frequently overlook patient's problems with meeting even very well known targets such as blood sugar or blood pressure because we understand that individual factors are huge in exceptions to cases. (i.e. too low BP (which may actually be higher than the commonly accepted 'high' levels) in the elderly leads to more falls, too low blood sugar leads to dangerous hypoglycemia).
Any attempt to define any sort of standardized 'fitness' is bound to fail in the general population. I have absolutely no problem in having targets that we try our best to meet, but to have targets be the absolutely minimum I have a lot of problem with. There are just way too many exceptions which will rightly be given to people. There will also be a lot of inbetween cases
You are allowed not to take math, or not take french or whatever past a certain grade. You are allowed many different avenues to pass school and to get your credits. There are very few absolutely firm standards that must be met, and the only exception I can think of is English class. There's an obvious reason why we would want people in our society to know English. There's a much less obvious reason why we would want our society to be proficient in whatever 'fitness standard test' is assembled in school.
If you want to look at this more philosophically, I can say that testing only works if it has a specific target and a specific purpose. Testing in calculus works because it tests your abilities you have gained after a course in calculus. It does NOT say whether or not you are 'good at math' but only good at what the course attempted to teach. As a general idea, it is understood that ability in math for instance can easily be applied to many other areas in academic studies and as such is absolutely critical to academic success. As well, there are many professions which require a good grasp of math to be successful in. Thus society needs people to gain specific math skills in order to succeed.
If applied in a health setting, you can have specific tests for say, doing a specific drill that you learn. For instance, you have a class that teaches situps and does drills. At the end you have tests to make sure people know how to do it. Or you have classes that teach certain sports. At the end you have a test that shows that people have learned how to play these sports. You can have specific tests for learning specific health facts such as preventative facts or healthy eating, but you must teach it first.
You cannot have testing for some general idea of fitness where you don't even have any sort of instruction or set aside time for with the vague understanding that 'health professionals' said this was the minimum level. No only is that irresponsible for the professionals, it will degrade trust in the health professions by the general public considering the huge number of people who will likely have not 'passed' these tests and still ended up healthy (i.e. not having major medical issues) vs those that will pass this 'test' and still have lots of issues in the future.
Your idea that you don't need new PE classes or teachers, but that kids can just learn on their own to be healthy is wishful thinking. It's like saying there should be testing on English, except we won't have English class, people should be able to just pick it up on their own. Some people will need real direction in order to pass any sort of test which is onerous enough to not be a complete joke. There are more than enough overweight kids with overweight parents who have no idea how to change things around, and who have picked up bad habits from their parents that can't easily just 'get into shape in their spare time' as you suggest.
As well, kids do have specific and demanding things that they need to do. A lot of teens have after school jobs, some support their families, others struggle enough just to maintain academic standards. To suggest that they will also find extra time to self-teach themselves how to pass some test is simply not realistic. It may be that you say 'well people should be able to figure these things out for themselves', but the fact is, you're FORCING people to do this, and you're also not offering any extra help for this. That is not fair, and should not happen for ANY requirement in high school, fitness or not.
Next the issue of academic failure and athletic failure. We can agree to disagree. I have no sympathy for anybody who could not reasonably succeed at both. That we are doing a poor job at academically training students is in no way an excuse for not improving other portions of the curriculum. And in my opinion, a lot of this has to do with parenting. In many other parts of the world that I have lived in, parents are very involved. As a result, failure rates are lower. This is not the case in North America where quite a few parents treat schools like 9 to 5 day cares.
If parenting sucks already as you claim, and you're not devoting extra resources to help kids pass this test of yours, I don't see how this wouldn't become a huge boondoggle from day 1.
Next the suggestion that just because you took french and didn't pick it up the same would apply to phys ed. I disagree. Even if you were more fit at that age, that would be immediately beneficial to you. But more than that, fitness has long term benefits even if you don't necessarily stay in the best of shape. French not so much.
I don't see why me passing a fitness test at that age would have any direct on my overall health. In fact, I don't see how being able to pass this test would actually make MOST people 'more fit' in the first place. I assume that the majority of people would be able to pass this test without any problems or any extra effort doing whatever it is they already do every day. It is the large minority of really out of shape kids that will have trouble. If you made the test any harder so that it's even hard for normal people (i.e. go run 5km or do 100 push ups like the military), then you'll guarantee that a huge proportion of kids will NEVER pass high school. My point is that most kids will be able to pass this test with flying colours because of the very nature of the test, and as such it won't do anything. A huge number of subsequently 'sick' adults were likely able to pass any generalized population-level test at some point in their adolescence I'm willing to bet.
... the lifelong issue. Yes, we need to do more to make it easier for adults to stay fit. But that's not a separate issue from growing childhood obesity rates (which does contribute to lifelong health issues). If we can nip this in the bud then we can reverse many trends. Numerous studies have documented the linkages between unfit kids and their unfit adult selves.
No studies have shown that any specific test that kids have to pass at a certain age will make them more healthy in the long term or help society overall. I understand this is all a proposition and as such it's hypothetical, but I would like to see more scientific evidence before such a large and wildly controversial program is implemented. I say this, because countries that have the highest life expectancy rates in the world such as Hong Kong and Japan, probably have tons of people who wouldn't be able to pass any sort of physical fitness test because so many people are not athletic. That is unless the test was 'walk up a flight of stairs' or something pointless.
Finally, what you are suggesting is that we should do nothing because it's too difficult (parents would be up in arms about testing) and too expensive (we could use the money for other things like hiring more math teachers).
Where have I suggested that we do nothing?
I stated that your idea of universal population-level generalized testing will not solve your goal of making society more fit. I have given a lot of reasons why this is so, and you have not provided a real good argument as to why it IS a good idea (by addressing any of my points in a convincing manner) except to say that in general testing is a good idea, and that this can be had for free (which I have rebuked above). Sure some kids may be more fit to pass this test for a short period of time, but it's not like kids die from any chronic non-congenital health issues anyway.
I have given numerous other ways to solve your stated problem of society not being fit enough in fact. I really don't think testing is worth the trouble, the resources and the controversy because I really don't think it would make a difference because of the very nature of generalized population-level testing and the inevitable lawsuits that will follow.