Enigmatic question on who worships same God

As I have pondered the question of Muslims worshipping the same God as Christians, I am confronted with the following. The Apostle Paul in his epistles, especially Romans and Galatians, presents the view that Christians and Jews worship the same God, that is God the Father, as we interpret this crucial element of the Trinity.

However, the Jews reject the Trinity as well as Jesus as the Messiah, the Son of God.

Muslims also reject the Trinity as well as Jesus as the Son of God. That being the case, does it not stand to reason that Jews and Muslims are alike in their essential non Trinitarian and anti Son-of-God positions?

And thus if one, the Jews, can be said to worship the same God as Christians, could not the same be true of Muslims? One reply is that Muslims accept the Quran, which is in many places contrary to the Christian Scriptures, and that is significant; but the same is true of the Jews, who accept the Talmud, which in many places is also contrary to the Christian Scriptures

So, in the end the overwhelming question is, What is the real difference between Judaism and Islam as regards worshipping the same God? If we affirm that Judaism worships the same God as Christians, then could not the same be said of Islam? This, I think, is perhaps one important issue that we must confront in trying to answer the enigmatic question, Do Judaism as well as Islam worship the same God as Christians?

Edwin A. Hollatz

Wheaton