If you were to take everything about their perceived version of organized religion which the left hates: anti-abortion, anti-gay, anti-women's rights and just general theological rule it seems like they would be mortal enemies of the Islam. But they see Islam as their shock troops in their war against Western civilization which they will somehow be able to brush aside when they rebuild their communist paradise from the rubble.
I'm sure Islam feels the same but are vastly more able to brush aside the left to build their caliphate.
You’ve nailed. That’s the dynamic exactly.