Specifically where nuclear strikes are concerned, a lot of planning has gone into maximising the probability of compliance. Missile combat crew carry a sidearm to threaten their counterpart with death if they refuse to act on an authenticated launch order. They wear 4 point harnesses during launch sequence, primarily as a psychological device to prevent them from getting up and walking away mid sequence if their conscience gets the better of them, etc.
If trump or any other president said launch, there would be a launch.
https://en.wikipedia.org/wiki/Single_Integrated_Operational_...
Everyone involved in the chain is part of the Personnel Reliability Program. It's mostly to make sure someone doesn't launch without an order but also probably to make sure that they will follow orders, including launch orders.
https://en.wikipedia.org/wiki/Personnel_Reliability_Program?...
Ultimately if the President orders the launch, it will happen. And it's the President's decision alone.
https://www.bloomberg.com/politics/graphics/2016-nuclear-wea...