Military Officers owe no allegiance to the POTUS (President of the United States). The enlisted oath alludes to the office.
However, read it carefully and you can see they won’t obey Obama if we tell them not to.
The wordings of the current oath of enlistment and oath for commissioned officers are as follows:
Enlisted Oath“I, _____, 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; and that I will obey the orders of the President of the United States and the orders of the officers appointed over me, according to regulations and the Uniform Code of Military Justice. So help me God.”(Title 10, US Code; Act of 5 May 1960 replacing the wording first adopted in 1789, with amendment effective 5 October 1962).Officer Oath“I, _____ (SSAN), having been appointed an officer in the Army of the United States, as indicated above in the grade of _____ do solemnly swear (or affirm) that I will support and defend the Constitution of the United States against all enemies, foreign or domestic, that I will bear true faith and allegiance to the same; that I take this obligation freely, without any mental reservations or purpose of evasion; and that I will well and faithfully discharge the duties of the office upon which I am about to enter; So help me God.”
Not a mention of the President of the United States. What is understood need not be discussed.