The CIA/military group that was training to kill Castro was the one who was used to murder John Kennedy. I believe anti-Castro Cubans and CIA operatives were the "mechanics" at Dealey Plaza who did the actual shooting. Of course these folks had longstanding mafia connections.
"Dark Complected Man" (the guy next to Umbrella man) - has never been accounted for and was most likely an anti-Castro Cuban, acting as a spotter for the shooter on the Grassy Knoll. DCL man also had a walkie talkie; he also sat around cool as cucumber post JFK assassination. He also looks like a black/mixed Cuban.
DCL Man is the one standing in the street. He was holding his fist in front of his stomach as JFK's limo approached, then as it got near he raised his arm - a signal to the shooters that we still need a head shot to JFK: http://www.documentingreality.com/forum/attachments/f227/319007d1322044844-jfk-umbrella-man-why-there-guy-open-umbrella-picture-11.png
Here is Air Force Gen. Edward Lansdale who ran Operation Mongoose for the Kennedys and who later said it was the most frustrating experience he ever had:
If Lansdale was involved, then Gen. Curtis LeMay and Lemnitzer are both locks as far as involvement in the JFK assassination.
Remember Gen. Charles Cabell, fired by JFK from the CIA with Dulles & Bissell, was also Air Force as well as the brother of the mayor of Dallas. 1) http://www.spartacus.schoolnet.co.uk/JFKcabelC.htm 2) http://www.spartacus.schoolnet.co.uk/JFKcabelE.htm Cabell, relieved of CIA duties, went back to work at the Pentagon and was running around Wash DC calling JFK a "traitor.'
Air Force Col. Howard Burris was LBJ's military attache: http://heathcock.org/genealogy/ps11/ps11_426.html
Col. D. H. Byrd owned the TSBD, actually founded the Civil Air Patrol and like H.L. Hunt was close friends with Gen. Curtis LeMay: http://www.spartacus.schoolnet.co.uk/MDbyrdDH.htm Byrd also employed LBJ's personal hit man at his company LTV. LTV got a major military contract in Jan. 1964 and it was paid for out of the 1965 budget.
Air Force intelligence, CIA, military intelligence as well as anti-Castro Cubans and CIA operatives are all over the JFK assassination.