Rocky wouldn't win. He scandalized a lot of the country with his divorce and remarriage earlier that year, Kennedy was popular, and the economy was doing extremely well.
In this scenario, Kennedy does lose most of the South to a third party effort, although he holds on for a plurality win in Florida. In real life, I doubt Kennedy would actually have dropped Johnson. I know he talked about the possibility privately of replacing him with Terry Sanford or George Smathers, but to drop Johnson would have resulted in a big, nasty mess at the convention and would cost JFK Texas and whatever he would have been able to carry with the South.
But, in the scenario you presented:
Kennedy: 346 EV, 52% pop. vote
Rockefeller: 139 EV, 41% pop. vote
George Wallace (?): 53 EV, 7% pop. vote