It becomes difficult when what is taught at home in the name of religion is not factual. That global warming is a hoax, that drag queens can turn kids gay by reading to them, that CRT is intended to make kids ashamed of being white, and so on.
People are taught all sorts of incorrect things regardless of their affiliations. If not in the name of religion then in the name of politics and other group memberships. Public schools should generally stick to agreed upon facts and steer away from politically charged positions.
Drag queens and CRT may be interesting and divisive to varying degrees, but they aren't facts. At least not the kind of facts that help kids pass important tests. Global warming has a degree of truth when viewed in the context of climate change, but there's also a lot of emotionally-charged misinformation out there. These are topics for adults to discuss, but they're far from being "just the facts" of the type that kids should be learning in school.
Global warming is a mixed bag. Evidence indicates that climate change is real and influenced by human activity. However, if the global warming activists when I was growing up were correct, New York City would be submerged by now. Was it a hoax? I suppose some might call it that, although most of them probably meant well. A grain of truth, that we can destroy our planet if we're not careful, buried under a mountain of misguided emotion. I hear echos of this in today's Greta Thunberg types. Do we need a generation of Chicken Littles running around rather than having the facts and thinking with a sober mind? No. Should we nevertheless strive to reduce pollution and conserve our environment? Yes. Absolutely. If you encounter a Christian or Jew who disputes this, tell them that the Bible instructs us to be caretakers of nature. Not to harm it.
As far as I've seen, most kids get along fine with other races until opinionated adults step in and tell them that they should have animosity toward different ethnic backgrounds. Kids shouldn't be shamed for being white, black, Asian, or even sentient space aliens for all I care (think Star Trek). Kids are kids. Let them play and learn together. When they are old enough, teach them about the history of race relations, but never suggest to them, whether in words or actions, that they are superior or inferior to others based on external things like skin tone. The topic of sexism can be handled similarly.
If parents want to recruit drag queens from the local drag club to read to their kids at home that's their choice. Much like a Christian, Jew, Muslim, Hindu, and so forth might pray with their families and share religious traditions at home. Public school isn't the place to be pushing personal agendas. It's the place where kids are taught how to read, write, and solve math problems along with play and participate in shared activities. Activities that are appropriate for a mixed audience. Drag queens are a bawdy act intended for adults. They may not "turn kids gay", but they aren't appropriate either. If you want them reading to your kids under your roof, that seems sketchy to me, but it's ultimately your decision. Regardless of what you do in your own home, adult oriented acts do not belong in our public schools.
The public sometimes forgets that public education is intended for a mixed group of children. So they can (at least in theory!) become responsible, educated, adults who are at least literate, can balance a checkbook, and understand how the political system works. Not to turn them into little leftists or little rightwingers. It likewise isn't for converting them to a theistic or atheistic point of view. That's for them to decide for themselves outside of public learning institutions. When handled well enough, separate public schools for different religions shouldn't be necessary.