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But it was the Soviets who won the war in Europe. They chewed up 200 divisions of the Wehrmact. When the Allies landed at Normandy they faced 80 divisions. Furthermore, Hitler was so obsessed with destroying the Communists that he sent the absolute cream of his various armed forces (especially the SS shock troops and Panzer Grenadiers) into Russia. The Allies faced few such elites.
Near the end of the war in the Pacific, Soviet paratroopers went through the Japanese Kanto Army (a battle-hardened army in China) like it wasn't even there. Had there been no atomic bombs, I'm quite sure they would have made short work of the portion of Japan they invaded.
Sorry.