Again, I disagree with your first part. There was never a sense of promise from god that the whole earth belonged to Muslims. There is nothing in the Quran, nor the Ahadeeths, and you are basing all of this on a book (which I haven't read, I presume) that a person interpolated a a belief in the religion itself and belief in god will help them win a battle with some that inherently make them presume that the world belongs to them.
Are you Muslim by any chance? Because, there are a lot of Muslims with bad beliefs that doesn't represent anything, and you would know if you were instead of looking through lenses of others. Books have been written, but I assume that none of them actually go in depth that a lot of these Muslims are just believing in something that is just nonsense. Again, there nothing in the religion that promises anything in this world, but propel will say and, as I said, use that as an excuse to do bad, fucked up things.
I will stop here, since I won't change your mind in anything you believe we are, especially since I don't know any books that will help make my point