Home schooling should be banned in any case, because it is thoroughly unhealthy, and many home-schooling parents are religious nutters or conspiracy theorists who don't want their kids being tagt to think for themselves, or taught real facts. I have known on line two people who were, or claimed to be, home-schoolers. both were semi-literate, extreme Christian creationists with the sort of views you'd expect on religious tolerance, women's rights, sexuality, etc. As another poster said to one of them, "the thought of you being in charge of s child's education makes my blood run cold". Mine too. Then there is the serious possibility of physical and sexual abuse accompanying the intellectual abuse, to return to the main theme of the thread.
While we're at it, let's ban religious schools.