Add to this the fact that the US has historically been very good at attracting the best and the brightest from around the world to move there and you end up with probably the largest collection of 'leading' people in the world.
Now with all of the focus on standardized testing, I worry the focus on independent thinking and problem solving is all but destroyed. Teachers now have what I consider "mandatory sentencing" with no room to inspire - only time to teach the test and shuffle kids through.
You might see some of that US magic fade away this generation. I hope not.
2) Our post-secondary education is the best in the world.
3) Even counting poor schools, the American education system isn't even that bad. America is better than Italy, Spain, Austria, and even Sweden. It's about as good as the UK.
American's just think we have to have the best system.
It also helps a great deal to have a consumer society that is on a constant lookout for the latest or greatest gadget, product or service. This helps to quickly identify the better options amongst the gazillions that see the day and die each year.
Granted, it is not based on very much, but i sort of feel that the US has gained the dominance it has today by being really big, and not horribly corrupt or impoverished.
You aren't doomed to failure just because one facet of your society is sub par (education in this case, allegedly).