You have to understand that in the BIG picture, the left and Islam are on the same side - building Satan’s kingdom on earth and destroying all vestiges of Christianity.
To answer your question - they’d probably work something out, but even more likely is that the Muslims would be “directed” not to go after their allies’ core values - yet.
Until they are to two left standing, when Islam will do the exact same thing to their former "allies." The crocodile will eat them last.