What would have happened if the U.S. and the U.S.S.R. conquered the middle east after ww2?

you have a point. US and Soviets divided Europe and Asia but not the middle east. Soviets never set foot in the middle east during ww2 though and so it would have been aggression to do so after the war.which the Allies would not have allowed. US on the other hand wanted to be he nice guy, liberating everybody so it would be bad form to invade of all things, the desert. UK and France also were the former colonial masters of much of middle east so they probably would protest such an arrangement. Likely, there was an understanding that UK and France kept its sphere of influence in its former colonies, so long as they could keep it, while US and USSR gets their new spheres of influence at conclusion of the war.