Well, that's not much good of an answer, is it?
Does the fact that Cuba still happened provide a hint?
Which type of Cuba theorist are you? I know several involving Cuba.
(Personally I'll agree to several being plausible enough for the purposes of conjecture as well)
I actually have no idea how much Cuba has or doesn't have to do with JFK's assassination. However, several of the same things are in place: the Cold War, Castro in Cuba, etc.
The professor I have for the History of the Vietnam War has something of a hobby of relating to us every single theory he's heard about JFK's assassination. Most are merely amusing, but some do make you wonder... They're good enough for TL purposes IMO most of the time.