What if Stalin had stayed healthy till 1956?

Stalin's health wasn't terrific, but, he certainly could have had his fatal stroke a few years later. So, let's suppose he does. The most obvious consequence is that President Eisenhower will be facing off directly against his old "friend" from WWII, Josef Stalin. Stalin wants the Korean War to continue, to keep the West off balance, the Chinese and the Americans have had enough. Also, Eisenhower is possibly more willing to consider the use of nuclear weapons, than Truman was, by this time. So, how does the confrontation between Eisenhower and Stalin play out, assuming Stalin is still in charge through Eisenhower's entire first term of office, instead of conveniently dying just two months into Ike's presidency?