American homeschooling seems to be particularly vulnerable to fascist/religious indoctrination. In most countries where homeschooling is common there's usually a social contract that's enforced to at least regulate the kind of education kids get outside of traditional schooling.
My brother and sister-in-law a few years ago tried homeschooling their kids to avoid having to drop $20K a year (each) in tuition to their preferred private school ($20K a year for K-6!) The "homeschooling" situation was actually four days a week in a school with teachers and everything, and one day a week supervising the kids at home doing lesson plans prepared by the school. This alleged homeschooling situation was in place so the school could legally hire uncredited teachers, allowing them to be cheaper - by paying teachers near minimum wage instead of a still-shitty starting salary in the $40Ks. Fucked up in so many ways, but at least this school wasn't religion-based.