Apparently he was ?Chairman? of one, as he was the only member in New Orleans. You don?t know this?
Not even "Chairman". He said in the radio debate with Bringuier in New Orleans that he was Secretary.
But of course this was a cover story that he was told to make up.
Apparently the conspiracy allegation is that "they" framed him for the assassination because they wanted to blame Castro to justify an invasion. But then "they" also conducted a fake investigation - the Warren Commission - that cleared Castro of any involvement. Yes, the same people who framed him in order to remove Castro also said Castro was innocent of any involvement.
That makes no sense but in conspiracy world it doesn't have to make sense; it just has to feed a conspiracy belief.