JFK's plans to take power away from the CIA were no secret. It was
widely published in the press in 1961 as well. For example, in the
Washington Post 7/7/1961 p. D19 the following appeared:

"Two broad changes in the intelligence establishment are currently
under consideration by the White House. First is a proposal to merge
the intelligence and research division of the State Department with CIA
intelligence-gathering functions into a NEW agency. The second proposal
would be TO TAKE AWAY FROM THE CIA ALL OPERATIONAL FUNCTIONS, such as
its organization of the invasion of Cuba by the anti-Castro exiles."