A longer lived Stalin would mean a Soviet Union that was less "livable" one than a Soviet Union in which he died as in OTL.
A less "livable" Soviet Union would be a less adaptable and capable one that would be more ideologically "pure" but have substantially less ability to project its force throughout the world.
If Stalin opted to keep the Korean War running to the point the US got tired of the stalemate and actually began using its A-Bombs to "make progress toward peace" would also mean an end to the Soviet's abilities to wage war against the West via proxies. It could also very well mean an end to Communist control of China itself.
With entire Chinese divisions and or cities vaporized, neither the people nor the second tier leadership of the Chinese Communist Party would have much faith in Mao and his minions. They only entered the fighting in Korea at Stalin's command in the first place. And now they're bearing the atomic hellfire response without recourse. At that point, no, it wouldn't be a low stress / care-free job to be a NATO soldier anywhere in West Germany. But considering the overwhelming disparity in nuclear delivery capacity enjoyed by the US over the Soviet Union in 1953, I don't think there'd be any substantive threat made by Stalin against the West. He'd be forced to back down lest he and the Soviet Union be obliterated.
After that, no one would want to be a proxy for Moscow in facing the West. Even if Mao survived America's Atomic Response he'd not have any interest in continuing to be Stalin's stooge. And his many subordinates would have every reason and motivation to depose him for his failure in vision.
With Stalin still ruling the Soviet Union into the late 1950s then woe unto anyone chaffing under Communist control in Eastern Europe. This, more so than it was when Khrushchev was in charge. I'd also expect just as many attempts at destabilizing the West by the Soviets through support of various "wars of national liberation" and insurgents of all stripes. But I think there'd be less success at that thanks to the continued brutality of Stalin both within Russia and beyond. Throw in the continued purging of anyone even remotely competent within the Soviet Union and it just keeps getting worse.