Article II, Section 2, Clause 2 of the United States Constitution:
He(the President) shall have the Power, by and with the Advice and Consent of the Senate, to make Treaties, provided two-thirds of the Senators present concur; and he shall nominate, and by and with the Advice and Consent of the Senate, shall appoint Ambassadors, other public Ministers and Consuls, Judges of the supreme Court, and all other Officers of the United States, whose Appointments are not herein otherwise provided for, and which shall be established by Law: but the Congress may by Law vest the Appointment of such inferior Officers as they think proper, in the President alone, in the Courts of Law, or in the Heads of Departments.
A fake "president" with a forgery of a birth certificate could not have legally (via the supreme law of the land, the United States Constitution) nominated anyone.
All of his false and illegal actions are null and void.
Well, I’m glad to be wrong. My thinking was off the cuff, and yours was based on the Constitution. I tend to doubt his residency will be mercifully expunged from the history books, but hopefully I’ll be wrong about that, too.