WI: President Estes Kefauver

I've seen this question asked before, but never with with quite the answers I'm looking for.

Lets say, for whatever reason- health concerns, accidental death, simply deciding not to- Eisenhower doesn't run for office. Instead, Estes Kefauver is elected and becomes president in 1956.

What I want to know is how this changes America and the world as a whole. What would be his foreign and domestic policies?
 
Why would Eisenhower having health problems change the Democratic party candidate? Adlai Stevenson won the Primary. Why wouldn't Stevenson be the candidate?
 
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