No, but I spent a lot of time studying Article VI, Section 3 of the Constitution, which renders your first statement false.
The Senators and Representatives before mentioned, and the Members of the several State Legislatures, and all executive and judicial Officers, both of the United States and of the several States, shall be bound by Oath or Affirmation, to support this Constitution; but no religious test shall ever be required as a qualification to any office or public trust under the United States.
You simply misunderstand what they meant by “religious test.”
They were all distrustful of each other’s Denomination; IOW the Presbyterians didn’t want the Methosists to set up a national church, and vice-versa, so they did all they could to prevent a national denomination from being selected.