“That whole Bay of Pigs thing…” was a comment recorded on the Nixon tapes. Nixon was worried about details of it coming to light. What specifically was he worried about? Didn’t everybody already know everything there was to know about the failed Bay of Pigs invasion? Not at all. The Bay of Pigs marked a grab for power by the CIA. Disgusted with the CIA’s incompetence, Kennedy decided to take the CIA out of the covert action business. And we all know how that turned out.