Why Involve a Public School?

In a New York Times story about a Hebrew language charter school -- a school the article  says has not "ventured into politically sensitive territory" -- First Amendment Center scholar Charles Haynes asks incredulously:

Israelis themselves have a hard time around the question of whether Israel is a Jewish state or a democracy. Why would we want to involve a public school here in that question?

I think I have a possible answer: Because private Hebrew schooling would require parents first to pay taxes for public schools they don't want, then a second time for the education they do.

I wonder what we could do to remedy the situation...