I live in a country that was ruled by the military many times in the past, and the US never looked to me under treat of a military coup.

In my country, any political problem real or perceived, and part of the population are already asking for the military to attempt a coup and fix things.

Yeah, ultimately it ends up being decided who the military is backing. Look at Spain, initially overtaken by a military coup. Then after Franco's death, as the transition to full blown democracy was already happening, sometime in the 80s (23-F), right as the successor to Suárez was about to take place, the military attempted another coup, but this time the military was on the people's democracy side, and basically saved democracy that day.

Really a hit or miss concept, military coups.