And let me add, BTW, that I think JFK was a good, not great, president.
But I am somewhat of a student of his assassination, and, as such, have read an awful lot about him and his presidency.
Yes, the Bay of Pigs invasion was a CIA operation about which JFK was misled, but I have never heard the claim that the reason he failed to provide air cover was because the Soviets were "on the way with nuclear weapons"
On the way where? They were gonna start WW III by dropping nuclear bombs on the USA? Or were they gonna drop them on the beach on the invaders, and wipe out the rest of Cuba in the process.
I think you're confusing this incident with the Cuban Missle Crisis, which took place later, when we placed a naval blockade around Cuba, and forced Russian ships which were carrying nuclear weapons to Cuba to turn around.