Nope, it was completely intended.
But the founders were far more concerned with keeping government’s hands off of churches than keeping church’s hands off of government.
Wrong again. They were equally concerned. It's a two way street and that should be obvious if you think about it.
Wrong again for you, that is!
The framers all supported state churches that quietly dictated the electability of all office holders. They just didn’t want the fed gov to dictate anything within the states.
You should learn some history.