This is an interesting perspective. My adjustment is that in Article VI (Clause 3) an allowance was made for the production of Public Trusts like the Federal Reserve System.
Oath to support constitution. The senators and representatives beforementioned, and the members of the several 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.