Interesting thought. But I'd guess that had the Bolsheviks fallen, they most likely would have been replaced by a collaborationist government, something along the lines of Vichy France.
Ironically Hitler was hoping that Stalin would have agreed to lead Hitler’s Russian Puppet State. Despite being bitter enemies, Hitler greatly admired Stalin.
But there were too few troops sent and most of the participants of WWI were understandably sick of war. The Allied troops fought halfheartedly for a about a year and were then withdrawn. All the White forces were subsequently defeated by the Bolsheviks, and that set the course of history for the next seventy years.
If the democratic world could have seen what evil the Soviet Union would perpetrate in the next seventy years, maybe they would have stuck with it and helped the Whites defeat the Bolsheviks. 20-20 hindsight.