Libertarians like to promote homeschooling but the issue with that is that many parents are straight-up bad and cannot be trusted with these things.
It's not clear that homeschooled children will get equivalent or better socialization compared to school.
Furthermore many parents lack the skills needed to teach children at higher levels.
btw: your conspiracy theories are unlikely t be true. I have looked into some of these and there really wasn't much there. You are overestimated the competence of the government to pull these things off.