The reality is that the government DOES engage in education and SCOTUS rulings have said government institutions cannot promote one religion over another.But it is the point, you desire to ignore it is irrelevant. The Constitution only says the govt cannot ESTABLISH a religion. Posting the 10 commandments doesnt ESTABLISH any religion.
Lots of them. The department of education. The Constitution does not authorize the govt to engage in education.
Pretty fucking simple. Except to simpletons.