Well, the NEA certainly agrees with you.
You atheists can send your kids to the public schools you helped create.
Well, you musta flunked history. Public schools were pushed by Horace Mann, an ex-Calvanist turned Unitarian. However, Mann couldn't establish the public school system alone. He was aided in his quest for "uniformity" by a Protestant backlash against the Catholic immigration of the time. They were dead set against allowing Catholicism to flourish and therefore were eager to capture youths in a nonsectarianism that was a staple of evangelical Protestantism.
The public school system, hence, is not a product of athiests (too few of us to do anything like that, really.) It is the product of Protestantism.