LP--
Fair enough, though I think LHO's confederates were either lower-level G-2'ers, likely acting on their own initiative...or
...hanger-on Alpha-66'ers, keeping in mind Alpha-66 had been penetrated by G-2, and there were double agents in Alpha-66. They had a house in Dallas, adding to the mix. There is a lone eyewitness account of LHO at the Alpha 66 house, on Harlandale in Dallas.
In fact, Rolando Cubela, indisputably given a poison pen by the CIA on 11.22.63, with which he was to assassinate Castro, is thought by many to have been a double agent. This is murky stuff.
Such a small, informal, ad hoc JFKA plot, involving three people (including LHO) with no written record, would be hard to detect. And the WC was, in general, prosecuting the LNT-SBT narrative.
Arlen Specter's lawyerly reasoning on the SBT is a work of art. Basically he said, "If we assume one bullet missed the limo, then the SBT is the only remaining explanation." He reasoned from a premise.
The CIA, in general, would be averse to a JFKA investigation, if suspected anti-Castro assets, or double-agents were in the brew.
It appears George Joaniddes wanted to put the kibosh on the HSCA's look-see into MC. Blakey thought so, after the fact.
OTOH, I do not see much of connection between LHO and the Mafia.
But who knows?
Caveat emptor, and draw your own conclusions.