Abba:
Don’t be ridiculous. This is not about personal hate. It is silly to characterize it as such. No one is dehumanizing people for not being vaccinated. They are free to make their stupid choices, just not at the expense of others. Their ideology poses risk to others. We can debate the ideology, but the matter at hand is the public health issue. And NYS has every right to exercise its responsibility to protect the student populations. It only diminishes Torah learning if you want that to occur. You are obsessed with the fatal error of invoking Torah here, which is מגלה פנים בתורה שלא כהלכה.
You draw attention to the home schooling issue, noting how complicated it would be. Either put up or shut up. You may choose to keep your kids home and educate them there, but that is not my responsibility. It would be yours. And the government would provide tutors, at the very best, for secular subjects. It would be insane to expect government to cross church-state lines and provide tutors for Limudei Kodesh.
As far as which diseases should be the focus for banning unvaxxed kids from school, it would be wise to defer to the public health experts on that. Your perception of risk may have no overlap with what they know from scientific study. Stick with subjects where you actually have knowledge.