Let's say that France and Great Britain launched Operation Pike. As a result, we have the Soviet-British war in Iraq and Iran, the continuation of the war in Finland, and probably the Soviet bombing of Turkey. USSR was back then an unofficial member of the Axis.
Hitler, in his madness, decides to launch Barbaross after the fall of France and securing the Balkans in 1941.
What I'm interested in is what are the real consequences of the Three-way WW2 in which the Soviets and the Western Allies are still at war? No Casablanca and Tehran, WW2 continues without any agreement between Soviets and Allies?
What would Turkey do?
Would Japan still attack US?