In 1956, people within Eisenhower's inner circle had serious doubts as to whether or not he would run for a second term. Eisenhower had a heart attack the previous year, and he had just turned 65. But Eisenhower ran for a second term anyway and won in a landslide. If the 22nd Amendment had not passed, would Eisenhower have run again in 1960? I don't think there is any doubt that he would have won, but since he would have turned 70 in October 1960 he may not have wanted to continue as President.