Prescott Bush would have been CREAMED!
John F. Kennedy/Lyndon B. Johnson (D) 435 EVPrescott Bush/Frank Carlson (R) 110 EVThe 1958 election was a "wave" election that was a response to an economic downturn. Large numbers of prominent GOP officeholders found themselves defeated. Sen. John Bricker (R-Ohio), Sen. William Knowland (R-CA), Sen. Edward Jenner (R-IN), and a slew of Representatives were swept from office. The GOP was already a numerical minority, but after 1958, a good deal of it's base for 1960 was gone.
Prescott Bush was a largely unknown Senator in 1960; he was a prominent insider, but largely invisible to the general public. The only reason Nixon did so well was because he was Ike's VP. The Southern states would have all swung to Kennedy because their local political leaders did not see a Goldwater to jump to, and they preferred the power of being insiders in the party they had committed to. There would have been no Dixiecrat revolt in Mississippi and Harry Byrd would have ensured that Virginia carried for JFK.