I see you don’t even acknowledge that Eishenhower had anything to do with it. And you ignore what LBj did, too. Believe what you believe.
Ike indeed involved us there to begin with, but it was on a very limited basis. We could have easily cut our losses at that time with a minimum of blow back.
And yes, LBJ made a complete mess of things with his ham-handed tactics. He never tried to win.
Perhaps JFK would have gotten us out, but that is just wishful dreaming.
History irrefutably proves that JFK set a course for SE Asia that LBJ felt he could not back out of without severely damaging US credibility. It’s all on the LBJ tapes.