I don't think the USDOJ has said anything that isn't true in the United States.
Every state has some type of compulsory attendance laws. Many states allow homeschooling or private schooling only based on religious freedom.
I've noticed mothers don't seem to think twice about their rights when asking permission or getting approval to home school or having to register under a private school.
Usually when they have a problem with the district do they start talking about their rights. Why is there no attention when they have to initially jump through whatever hoop that compulsory education laws that violate their inalienable rights?