They did, and the world is steel reeling from announcement. There is now a huge change in political course following the election results, no matter how one tires to explain that away with nitpicking.
On Cuba, even suggesting change of leadership is enough to put you in prison.
the only thing they can change is the name of the "president" in the government. There is no way Americans can legally overthrow the government. Overthrowing governments by people is called revolution. This is what Castro did with his people in Cuba.