You make it sound as tho you're assuming the Libertarian platform is against "structured" compulsory education at all, that if given a choice between spending money on a private school or sending them to a publicly funded school they don't care about their kids' educations. They don't have anything to do with one another tho
Libertarians aren't against education whether compulsory, optional, funded or private. What they're against is the state government and/or federal government imposing on the people's right to choose *anything* in this country. And given the option of sponsored school vs private school, the Libertarian would most likely take the option and choose home schooling...not because they're against the economic picture of any school but because home schooling affords a personal, one on one, focused education that would automatically incorporate *real life* alongside the ABC's.