I don't think the CIA killed Nicoletti though, I think it was Aiuppa's guys. Nicoletti would have never talked to the House Assassinations Committee I think Aiuppa just used the timing of that to his advantage so that the cops and the media would never know really where to place the blame. In reality, Nicoletti's days were probably numbered from the time Giancana was killed 2 years before. It was a continuation of the purge of Mooney's old Taylor Street guys by the alliance of Cicero/Elmwood Park.