Correction to my previous posting-
This scenario has Hubert Humphrey elected President in 1968, therefore, George Romney and George Schultz would not have been in cabinet.
Therefore-
The Republicans nominate former Michigan Governor George Romney for President.
George Romney surprises everyone with his Vice Presidential pick, by naming George Schultz, who holds a PhD in industrial economics, had served in the Eisenhower administration as a senior staff economist on the Council of Economic Advisers, and who is currently dean of the University of Chicago Graduate School of Business.
Ironically, this scenario could still end with Carter winning in 1976 and Reagan winning in 1980. The only difference is that we are spared with a President's resignation.