"On October 2, 1963, as we have previously seen, President Kennedy made clear his determination to implement those plansâ??to withdraw 1,000 troops by the end of 1963, and to get almost all the rest out by the end of 1965. There followed, on October 4, a memorandum titled â??South Vietnam Actionsâ?? from General Maxwell Taylor to his fellow Joint Chiefs of Staff, Generals May, Wheeler, Shoup, and Admiral McDonald, that reads:
b. The program currently in progress to train Vietnamese forces will be reviewed and accelerated as necessary to insure that all essential functions visualized to be required for the projected operational environment, to include those now performed by U.S. military units and personnel, can be assumed properly by the Vietnamese by the end of calendar year 1965. All planning will be directed towards preparing RVN forces for the withdrawal of all U.S. special assistance units and personnel by the end of calendar year 1965."
Exit Strategy: In 1963, JFK ordered a complete withdrawal from Vietnam - Boston Review
We have to give a reason for the military to exist so we need wars. Its a choice between small wars and big ones. Kennedy didn’t understand that wars on the periphery are preferable to world wars.
So, he had to go. Peace would have meant the end of the military.