Doubtful that the military would actually do that. Trump while President was reportedly annoyed at basically being told ‘no’ that General Kelly said that:
The President’s loud complaint to [then-White House chief of staff] John Kelly one day was typical: “You [f------] generals, why can’t you be like the German generals?”
“Which generals?” Kelly asked.
“The German generals in World War II,” Trump responded.
“You do know that they tried to kill Hitler three times and almost pulled it off?” Kelly said.
But, of course, Trump did not know that. “No, no, no, they were totally loyal to him,” the President replied.
The President may be Commander-in-Chief but the oath is to the Constitution. Obeying the President and officers are also a part of the oath but with the caveat that it is according to the regulations and UCMJ. You not only don’t have to but you’re taught to explicitly not follow an illegal order in the US military.
Not that US military members have given illegal orders that were followed but it is a little different to basically order the military to essentially start enforcing essentially a government coup for a politician against the US’ own citizens.