Do Muslim countries call themselves "Abrahamic" countries in order to include their (fast-declining) Christian and Jewish populations? I don't think so.
So, what they are asking for, is 1/3 of the West, plus they get to keep 100 percent of their own countries.
Yeah, I know that Islam would like to claim that they get credit for the West's culture and advances, in order to mask the incredible failures of their own cultures. The cheek of it! The sad thing is is that multi-culti political correctness will probably result in them getting away with it.