"President Kennedy -- who had declared just days before the invasion that the United States had no plans to invade Cuba -- was proven a liar before the world."
Of course that was the cover, to use non U.S. backed supporters, to hopefully maintain plausible denial.
Problem is...the do it all the time in portraying Repub leaders.
Just for the record, the CIA plan preceding the landings included B26 airstrikes on the Cuban airfields to eliminate the Cuban Air Force. After they had commenced but before these strikes were concluded, JFK canceled this phase of the operation. The Cuban Air Force had taken heavy losses but was not destroyed.
Consequently the half-dozen surviving Cuban fighters and bombers quickly eliminated each of the invasion transports before they had been unloaded of their heavy weapons, medical supplies, and the food and ammunition. And obviously with the transports sunk, there was no route of withdrawal.
The invasion was doomed before it even left port. And this was thanks to the White House.