The only thing left for young parents is to move out of NJ...which is a pretty good idea given the taxes and corruption. My conservative USMC nephew has an opportunity to move there with his company. I encourage him to look at what’s going on in that state.
This may come as a great surprise to you, but NJ has perhaps the BEST homeschooling laws in the USA. In short, all you NEED to do is inform your district you are HSing, and that is so they don't get you for truancy violations. There is no curriculum check, no mandatory testing, no meddling bureaucrat saying Johnny or Mary need to learn about this or that...nada, zip, zilch.
Now, NJ has bad gun laws and there are other issues (pro-abortion zealots, RINO rampancy, love of Springsteen and Eli Manning). But you have to pick your poison. Further, NJ has some of the best diners on the planet.
As I've said before, there are a meaningfully large number of Deplorables in NJ. They are good, decent people and I would argue that BECAUSE they are denied liberty often they have a deep love and appreciation for things others take for granted.
Finally, I'd suggest that many HSers in NJ already learn LGBT things but on their parents terms. Indeed, there is a great deal to be learned from the life of Freddie Mercury or going to see Judas Priest live. Or, the parent can be silent on the topic. Given how onerous other "free" states' HSing laws can be, it *may*be that NJ is the place to stay.