The McGeorge Bundy connection to events surrounding JFK are interesting:
1) Bundy called off the air strike that would have wiped out the remainder of Cuba's air force planes that posed areal danger to the Bay of Pigs invasion force. He called it off very late on the day of the invasion and that action has been directly attributed to the failure of the invasion.
2) Bundy had a draft of NSAM 273 and signed it on 11/21/63 the day before JFK was killed and his whole cabinet were conveniently overseas. NSAM 273 was opposing JFK's Indochina policy and Vietnam plans. Strange whilst JFK was away and still alive. What did he know? Who instructed him? LBJ signed it I believe on the 26th