With a little Biblical research, you just might discover that the Arabs, Jews and Christians are all descendants of Abraham, who worshipped the one God, Jehovah, Yahweh, Yehowah, YHWH, or, as the Muslims call Him, Allah!
Just because in their language the name is different from what we are used to doesn't make Him a false God.
Rather, my disagreement with them is over how they have interpreted His Word.
You said -- "Just because in their language the name is different from what we are used to doesn't make Him a false God."
Allah is definitely a false God. The God of the Jews and Christians is known as the God of Abraham, Isaac and Jacob.
And, as defined (in the Bible as the God of Abraham, Isaac and Jacob) -- that God then does not proceed to instruct his followers to kill all the Jews and Christians.
The so-called god -- Allah -- tells his followers to kill the Jews. The God of Abraham, Isaac and Jacob gives promises to the Jews to preserve them forever (not kill them).
We're definitely talking about two different gods here. One is going to kill all the Jews and the other is going to preserve all the Jews for His namesake. They are not the same.
One is a false god and the other is the true God. In the Bible, the true God says He will be found to be true to His word and His name by means of the fact that He will preserve His people -- the Jews.
Allah, on the other hand, seeks to verify himself by promising to kill all the Jews.
For those who cannot see who is the true god at this time -- they will soon see who is the One true God -- by what happens to the Jews.