Liberals have always supported govenment controlled schools for everyone else's kids, not their own. I guess they have figured out that homeschooling takes less cash flow than the private schools they have traditionally used to avoid exposing their little darlings to those awful Black children.
For the religious right - that means all the destructive social habits and the liberal education schools provide.
For the libs, they don't want their kids exposed to the destructive social habits and the small bits of "reasonableness" that some schools still have in their curriculums.
I am a "Stop" for many local Homeschool groups as I am a "Nature Boy" and I, somehow, have been tapped by my local school system for my expertise in "all things outside". So , I now lecture and give tours of my house, gardens, butterfly & moth rearing facilities, cacti & Hosta hybridization programs and all the other "crap" I do - for homeschoolers several times a year.
BIG diversity in the types of kids and political leanings of the parents in these programs.