I'm not sure if that works...
It does in this state.
I still don't understand how this makes sense. The only reason to take the SAT is during the admissions process. The SAT just provides colleges with a universal set of test scores which they can use to compare students from across the nation when deciding who to admit or not (although in most cases the SAT just acts as a first hurdle, making sure you at least fall in the realm of qualification; it's the rest of your materials that get you in).
Taking the SAT once you get into college just doesn't make sense. If you do poorly, are they going to retroactively revoke your admission and take you out of school?
The American system is unique among almost all other countries on Earth, and frankly I think it is superior, or at least less restrictive. Many countries like France have you take tests as young as 12 to determine if you will be placed in an Arts and Sciences prep school or straight to technical school. When I was 12 the only thing I had to worry about was getting decent grades in middle school; not about taking exams which would determine the course of my entire life. High stakes tests lead too tremendous amounts of stress, and in countries where high stakes testing is the norm (France and Japan), teen suicide rates are significantly higher. Certain states like New York have exit exams (called regencies) that you have to pass, but this is no where on the same scale as other countries. Similarly, the SAT is just one among many qualifications they look at for college, others which include several essays you write, a list of all your extracurricular activities over the years, community service, etc. I got into my school with scores that were well below the median average. In Japan the only thing you submit to a university are your test scores, and nothing else enters the equation.
Liberal arts school also receive prominence in America, granting more general degrees in general fields of study, rather than teaching the technical skills needed for a job (most careers have on-the-job training). Pursuing knowledge for the sake of knowledge is encouraged, and most liberal arts colleges don't require you to pick a major until one or two years in. In stark contrast, when I applied to McGill in Montreal, Canada, I actually had to apply twice, one application for each major I wanted, and they would admit me based on my qualifications for each. In other words, I could have gotten accepted on one path of study but rejected for another, and even if I got in on one I could never hope to change that; I would be stuck studying one thing my entire college career (In the end I got both, but as much as people like to tout "free education" in Canada, it isn't free for international students, and the financial aid they offered was appalling).
The one draw back is that American schools are expensive and competitive. This is to be expected, as outside of the state university system most colleges are privately run (which is why their curriculum can be so autonomous rather than having state-like objectives, and why they can be selective in their choice of admittances). Paying for college is perhaps the most significant problem students encounter, but the availability of need-based aid (rather than merit-based) is on the rise, moving college into affordability for most Americans. At many top tier-universities (read: rich), need-based aid has now risen to the point where anyone can afford to go to an Ivy League school (among other top universities), and their only challenge is working hard and getting in.