Excuse me, but you're too fast on making conclusions. Also you're totally ignoring the lack of vertical social mobility in the Chilean society because poor people have no chance for education and better jobs for their kids.
> It results in chileans who are markedly better at critical thinking than americans.
This statement is too generalized. But even if it's correct then you can't pinpoint it to education. There's a whole culture behind
> Consequently the government runs a surplus does a great job of providing services
That's simply not true. Chilean government is criticized a lot and the president has very low ratings.
> Chile is the south american economic miracle as a result.
Chile is resource-cursed country with quite small population and low corruption. It's not the government's achievement.