Not quite...
Eventually both will go after each other. Neither side here is gonna just be the victim.
Whatever Muslims remain, will be aligned with whatever Christians and other non-materialists remain. Muslims have very little power to fight back against the left.
Think about it, Muslims have been around 1400 years, and could never defeat Christianity. The left had virtually destroyed Christianity in less than 150 years. It's no competition.
Muslims are just a distraction.