Under Article 6 of the Constitution, no religious test can be required for any "office or public trust."
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.
My question is: which government jobs count as "office[s] or public trust[s]" for the sake of this clause? The preceding text seems to imply that those offices are included. But what about other government representatives and employees?
In particular, I was wondering about the applicability of this clause given the exclusion of those who refuse to swear "So help me God" from the Air Force. Setting aside the question of whether or not that qualifies as a "religious test," would members of the Armed Forces even be protected?