Cuban Missile Crisis - WW3?

Until 1958 President Batista governed in Cuba. The revolution (= Guerrilla war) by Fidel Castro and Ernest Che Guevara overthrew Batista and Castro came to power (8th January 1959).
"Long time ago there was a little island where many people were let to starve and everywhere was great hardship. Then came a former non-commissioned officer, admitted the president and made him the head of the state. Then there was much more corruption and despotism. The big neighbour from the north looked confidently at it, because he could now rule in that country. …