I disagree. I think it could go either way, as I have no real scientifically valid evidence either way, but I think the burden of proof is on the party advocating using violence to prevent the other party from doing what it wants.

> Many arguments in favor of homeschooling are about parents' religious freedom or about how the public school system has failed the children, and in both cases this does nothing to demonstrate that the parents are going to do a better job.

True, but it also does nothing to demonstrate that the parents are going to do a worse job.