I only raise the point about "Trump shutting down Facebook" in response to the comment "Facebook can be shutdown by POTUS in an instant." It simply isn't true. The President of the United States often can't even get the legislative platform that they ran on through Congress. I don't see any way they can shut down a major US corporation in an instant, unless with the cooperation of dozens of different parties within the government. The power of the US presidency is staggering and fairly unconstrained when it comes to killing millions of people with nuclear and conventional weapons. It's pretty constrained in every other arena.
As to actions that Zuck could take to show that he has more power than the POTUS? As I mentioned, constructive power and destructive power are of different natures, so that the power of an artist building a great sculpture is not really comparable to the power to smash that sculpture with a hammer.