Wouldn't it seem logical that your followers would eventually worship the God of Abraham after Elmer is long forgotten? How can they believe they worship the God of Abraham (as you told them) but that worship bounce off of God and somehow hit Elmer.
Muslims believe they worship the same God as the Jews. How can they believe that and still be worshipping a moon god? Won't the moon god feel cheated?
But they don't. There is nothing historically to connect Allah to the God of Abraham. Nor is there anything in Muslim practice to suggest they worship the God of Abraham. The God of Abraham is revealed in the Bible. Muslims don't read the bible. They don't follow the laws of Moses, etc. Simply saying that Allah as described by Mohammed is the same god doesn't make it so.