But that requirement is transactional.
If you want the use of public schools, then your children must be vaccinated. Plenty of parents homeschool for just that reason.
(On a tangentially related note, i think requiring the use of contraception that can't just be "forgotten", like the IUD or the shot, in order to obtain food stamps or other welfare programs would be appropriate. After all, they've already demonstrated they can't support the child(ren) they already have)
There are serious discussions of requiring businesses, whether they want to or not, to vaccine check thier customers. Requiring a vaccine to buy groceries? That is ridiculous.