There is no "separation of church and state" in the Constitution and no intent for such.<quoted text>
Very true, but you were talking as if you interpreted it as it was really meant and proclaimed there was no separation of church and state.
The relevant clauses of the First Amendment were intended to prohibit the federal government from interfering with states and their laws regarding religion and state.
It was a "hands-off" provision, and applies to nobody but Congress.
"Congress shall make no law..."