My point is: The Military swear an oath to the Consitution and to The Commander In Chief, The Office of the President,
not to an individual person.
"I, [name], do solemnly swear (or affirm) that I will support and defend the Constitution of the United States against all enemies, foreign and domestic; that I will bear true faith and allegiance to the same; that I take this obligation freely, without any mental reservation or purpose of evasion; and that I will well and faithfully discharge the duties of the office on which I am about to enter. So help me God."
Nowhere is an oath taken to the president, let alone a particular president.