So if you told some E-2 to swab the deck and he replied, "I will not swab the deck. I do believe your order is lawful since I do not believe Obama is eligible to be president" then what would your reply to that be?
I would say remove the one not eligible for Office ,let another take his place—because I agree that the President is not eligible. But I would likewise remind the E-2 that his Oath of Military service requires him to obey the lawful orders issued by his superiors.The error of your argument
is with the difference between the enlisted and the Officer.
As an Officer I would do EVERYTHING within my power to resist and oppose ANY CIC who is not eligible for the Office/who manifests such utter contempt for our US Constitution and way of life as this FRAUD.