For the sake of reference, Operation Northwoods was a false flag attack proposed by the US Department of Defense in 1962. It called for the CIA to commit commit various acts of terror in US cities, and blame them on Cuba, in order to generate a Casus Belli to remove the communist government that had taken over Cuba.
IOTL this was authorized by the Joint Chiefs of Staff, but was rejected by the Kennedy administration.
ITTL the attacks happen. The authorities state that Cuba did the attacks, and the public is outraged. Calls for a military intervention in Cuba grow, and Congress unanimously votes to declare war on Cuba.
What happens now? How do the Soviets react? How does the world react? Lets have a civil debate in the comments section below