There are a couple of subtle ways in which I hedged my prediction: 1) it's predicated on the homeschooling rate drastically increasing (e.g. to 15%) 2) they're not actually going to try to ban homeschooling--just regulate it out of existence. This is the same legal strategy that the pro-life/anti-abortion movement is currently engaged in, so there is precedent for this prediction.

I'm almost certain that this wouldn't actually happen during the first term of a Biden/Harris administration. Most likely, the only role the Biden/Harris administration would play, at least in its first term, would be to cement gender ideology into the public school system. It wouldn't be until a few years after until the homeschooling movement gained a lot of steam, and it would be another couple of years after that before Democrats took notice and ramped up the anti-homeschooling rhetoric.