Do you have any data to support the positon that education should be a function of the marketplace.? Other than the usual right wing screeds arguing in favor of your propositon (again with no data), I can't find any. Here's the list of countries that currently do not offer free education of any kind to their citizens:
Central African Republic
Quite an impressive group. I'll wager that the GDP of the county in which you live is greater than the sum of those countries listed above.
Now it is true that there is poor correlation worldwide between the amount of money spent per pupil and any measure of educational success.
And from this list one might infer (correctly in my view as well as yours) that the US is not getting great value for the money that is spent or the system it employs. And all those questions remain at the heart of the lively and ongoing debate about how best to educate our children. But none of these countries provide information useful to your hypothesis. For that, please refer to the list above