One episode entitled "The Comrades of 73" portrayed the United States and the Soviet Union as being allies in the Pacific Theater of World War II. However, during the 1943–1944 time period during which the series is supposed to be set, this would be incorrect. The Soviet Union did not actually declare war against Japan until August 8, 1945 — two days after the U.S. dropped the first atomic bomb on Hiroshima. Despite this, the series was known for being more historically accurate than its contemporary series, 'F Troop'.
Toobworld has never been considered historically accurate in comparison to the Trueniverse. Just look at all the fictional characters who have perished in the collapse of the World Trade Center, added in over the last decade. It was the actions of the Time Lord known as the Doctor and his friends and enemies which sparked the Great London Fire, caused the extinction of the dinosaurs, and even triggered the very beginnings of Life on that artificial construct that would become Earth Prime-Time.
Having the Soviets entered into the war against Japan at least a year earlier than the bomb blast in Hiroshima doesn't seem to have altered the general Toobworld timeline.