Mohammed looked at the Jews and saw that they were strong because of their faith in one God. He looked at the Christians and saw that they were strong because of their faith in one God. He coveted what the Jews and Christians had. There can be only one author to a religion based on envy.
It isn't the lack of multiple gods that has made Judaism and Christianity successful. It is the fact that they, along with every other major religion, are moral and in accordance with the golden rule. Because Islam isn't, it produces failed societies.