Nope, nothing at all. Every test of mine has a political question on it and if they get it wrong - instant failure.
Or… maybe you’re extremely overestimating how much politics comes up in my classroom except maybe as it pertains to thing like the planet or food regs, etc. - though school shootings bring it up too. I can’t think of a single time in the past 20 years that a specific election one came up - candidate A vs candidate B.
If you only knew the range of what comes up, this wouldn’t even cross your mind.
This is what’s recommended when parents have issues about X being taught (or not). If one wants to have the sole influence on their kids, it’s what needs to be done.
FWIW, I can tell you that homeschooling done correctly can produce wonderful results. My two oldest kids can attest to this though neither were homeschooled all of their years - just 9-12 and 7-12 respectively. Our decision wasn’t made based upon fearing what they might hear from someone at school though. It was solely academic content that was too low for our preferences. I’ve referenced that in other threads - and some perhaps in this one (Everyday Math).
For the folks in the OP’s article they could probably start their own private school like many did in the 60s to avoid segregation. If they sift their teachers carefully they’d probably get the classes they prefer for their darlings.