It seems we have enough problems without worrying about 50 year old ones. If there was / is a conspiracy then it is so well covered up that it will probably never surface. If not then there is no way to prove it doesn't exist. If not all then nearly all individuals that might have been involved are dead by now. Speculative thinking about the incident is not going to magically solve anything. Let it go.
My thought is that, what if we do actually uncover the truth? What could we actually do with that information? I don't think we could do much at all if agencies like he CIA are involved.