If I may continue ... The world's university graduates come here for post-graduate education. Our universities compete with each other. We have no national system. Even Ohio State and the University of Ohio compete against Michigan State and the University of Michigan: publicly funded schools in competition.
One of my colleagues is getting one of her kids into college right now and I overheard her talking with someone else about her push for a smal religious school versus a big state university. She is not religious, especially, but it was the fact that the professors at the college are not researchers: the person whose name is in the schedule is the person who actually teaches the class. That was why my wife and I chose Eastern Michigan when we could have gone to the U of M: EMU had no strong program of teaching assistants; grad students were clericals; teaching was the job of the professors.
Of course, for those master's and doctorate candidates from abroad, it is the research that brings them here. Those other nations just do not have that. Their national systems do not encourage innovative thinking.
But even at the K-12 level, America's non-system is attractive. When I worked for Kawasaki one of my Japanese colleagues was sorry to be sent home because he wanted his children to be in American schools. He said, "I can name all of the Japanese who have won Nobel prizes."
The funny thing is that you cannot teach innovation or creativity. Back in the 1990s, some business schools tried bringing in entrepreneurs like Bill Gates and Steve Jobs to teach their secrets. It fizzled. The fact is that there is no formula for success. The Austrian ecoomists argue what entrepreneurship "is" but they have to argue it because it is ineffable.