School Vouchers are almost impossible to get legal in NY, there is something called a Blaine amendment which was written in the late 19th century against catholic schools, They tried to change it in the 1960’s but it proved to be almost impossible to remove.
And even if somehow vouchers became the norm, by accepting them you would also allow the government to regulate them to an extent like curriculum issues (When you accept the money , you also accept the terms that come with them)
If the community “taxes itself” does that mean yeshivas would be forced to take all kids no matter what? If a Belz Yeshiva for example takes a “community tax” from more MO people and one of their kids who has a TV in the house and goes to movies (and will not stop) do they have a right to refuse entry to such a kid , especially since they took the parents money. If you are going to take peoples money, you are going to have to take their kids as well