Wikipedia says, the president is the commander-in-chief, if I understand correctly, he delegates to the secretary of defense, who commands the military.
This certainly sounds like there is nothing the military can (legally) do against the president. They basically have to obey him.
Is there a legal way for the military to disobey? Have there been any precedences of the military going against the president, apart from outright coup?
If it violates the Constitution, they are not obligated to follow, right?
Ok, so they all swore (including Lloyd Austin): "I will support and defend the Constitution of the United States against all enemies, foreign and domestic".
This means that if certain evidence would see the light of day, they would be obliged by their oath to act on it.