Yep, something along the lines of JFK does get shot, but not fatally. LHO is captured alive and gives up the Mafia/Military plotters, resulting in the end of organized crime. JFK, fully recovered, is re-elected, takes out Castro. Cuba and Puerto Rico become states. He continues his tax cuts, the economy goes wild and Viet Nam never happens as the Commies are too afraid of the USA.
Hmmmm....
You write it, and I’ll read it.
My version: JFK gets shot at, but not hit, and realizes it was Johnson's associates that did the deed. JFK takes an immediate presidential executive maneuver to protect himself from further attack. Bobby Kennedy's investigation reveals LHO was a CIA agent meant to be a patsy. LBJ, J Edgar Hoover, CIA officials, the Dallas Police Chief, and LBJ's goons are hanged in a style reminiscent of Lincoln's attackers. The Great society is avoided enabling us to establish ties to the nations around Vietnam to stop the domino effect rather than jumping into a war already half-lost by the French and the South Vietnamese.
Castro is Castro...what can you do about an Island paradise...as Plato says, those climes do not encourage a nation of character.