You have a solution looking for a problem. Its not like we have scores of uneducated "homeschool" students out there. Homeschoolers tend to be head and shoulders above public school kids. Every homeschool kid I know will run CIRCLES around a public school kid, as well as most private school kids.
And that solution isnt very Libertarian of you. Just sayin.
I see this as the likely truth. Public schools have been generally deteriorating for some time and you always hear the education industrial complex complaining about things like "teaching to the test" when anyone wants to evaluate results.