Your history is a bit off. Compulsory government schooling was the brainchild of Protestant central planners who wanted to indoctrinate Low Country Catholics into the Protestant work ethic and values. It worked, but was hijacked by Progs because they took control of urban areas. Keep in mind that it was designed to indoctrinate from the beginning. That’s the Devil’s work to force a man’s mind instead of letting consequences lead the man.
Yes, you are correct.
Public schooling had anti-Catholic roots.