Could one compare Islam to Communism?

I would say, "yes." The only thing Islam lacks is a Stalin, other than that it is an equal opportunity murderer. One edge it has over Communism is it's longevity, give them time, as if they haven't had plenty, and the comparisons will continue to blur. It's interesting that many Soviet citizens held Stalin blameless for their situation as many Muslims remain yoked and faithful to a religion that subjugates all to doctrine.