Apologize and Remove Missiles

You apologize to Kennedy and promise to remove all the missiles. While this likely avoids any possible friction with the United States in the short term, it is a very poor move. 

Not long after the removal of the missiles, Kennedy launches a large scale invasion of Cuba. This time, he is successful and Cuba falls to the corruption of capitalism. 

The high ranking members of the Communist party hold a secret meeting in the middle of the night, a meeting without you.

When you wake up in the morning, you find yourself under house arrest. Your failure to protect a member of your communist brethren has resulted in you being removed from power. 

Things spiral out of control from there and all you can do is watch as tensions between the U.S. and U.S.S.R. escalate to war... 

Without anyone to hold them in check and provide reason, nuclear missiles are launched. Both sides launch their entire nuclear arsenals, wiping out humanity.