I keep thinking about actually putting this setting into some sort of game format, as in the spring of 1957 the Soviet Union would have thought that the NATO Alliance was disintegrating with the U.S. so upset with the UK and France trying to retake the Suez Canal from Nasser of Egypt, and had basically let the Hungarians die alone in the streets rather than attempting to help them out. Communist China was beginning to flex its muscle in the Formosa Strait by threatening Quemoy and Matsu, and getting into air battles with the National Chinese Air Force over the Straits.
The scenario would have the Soviets deciding to settle the German question once and for all by taking over West Germany, with the idea of once taken over, stripping both East and West Germany of all industry, and letting the Germans starve down to a population that their agricultural output could support. Basically make Germany an agricultural colony. Then also hit Yugoslavia to bring Tito to heel, and grab the Bosporus and the Dardanelles on the side. Communist China would keep the U.S. occupied in the Pacific by trying to attack Taiwan, so that the Soviets could grab what they wanted in Europe. Denmark would be an added bonus to grab, and Sweden would be turned into another Finland.
All sorts of possibilities exist with that sort of scenario, from a Polish uprising with Hungary blowing up again, this time with Western help, guerrilla fighting in the Balkans, the Israelis taking it to the Arabs along with getting the Sinai back, and lots in the Pacific, between Malaysia, the HUKs in the Philippines, Vietnam, Laos, Korea again, and landing in Siberia near the Bering Sea.
The nice thing is that all of the hardware is still pretty much World War 2, so not too esoteric. And no wiping out the Western navies with a hand wave.