If Jimmy Carter was re-elected

[True Federalist (진정한 연방 주의자)]

No.  After all, the  Reagan defense build up that the Reaganistas love to claim as a major contributing factor in the decline of the Soviets was largely planned for by the Carter administration.  About the only major changes were the recommissioning of the battleships and the building of the B-1B after Carter canceled the B-1A, which despite having the same number was a very much different airplane.  Not only that but considering that the Soviets didn't increase military spending much if at all during the Reagan years also shows that vis a vis the Soviet Union, there would not have been much difference between Reagan and Carter in effects.  The main difference between a second Carter term and the first Reagan term would have been economic.  Carter's probable fiscal policies would not have been as complimentary as Reagan's were to the monetary policies that Volcker put in place once he was appointed to the Fed in 1979 that got us out of the worst of our economic malaise.

[True Federalist (진정한 연방 주의자)]

Given that CIA reports in mid 70s predicted the fall of the USSR by exactly the time it happened in real life, then Reagan's impact on the Cold war wasn't as large as imagined.

But hey, maybe in this reality people would believe that President Walter Mondale was responsible for ending the cold war.

More likely, President George H.W. Bush (or whoever the Republican nominee in 1984 was) would have gotten the credit when the Berlin Wall fell in the middle of his second term.  If Carter had won a second term, I can't see Mondale winning in 1984.  Carter's second term would not have been as prosperous as Reagan's first was, and Mondale would be facing a challenge from Kennedy and other liberal critics of Carter's conservative policies such as his firing of the air traffic controllers instead of allowing them to break the law by striking without consequences.