Those are not the Constitution RNR. That letter shows Jefferson's views. Jefferson did not attend the original CC. He was a deist and he referred to a Creator in his Dec, as to where rights came from. That was a public policy document justifying our secession from Britain.
My only point is that there is NOT a hard line. No one is compelled to believe in any religion. Some religious words here and there such as on coins are not a violation. Even the Constitution closes with the word "Lord" capital letters. Neither establish a church.