Do Islam and Christianity Worship the same God?

Yesterday I spoke with some Muslims, and they pretend and act as if we worship the same God. But they call their God Allah, but when God gave His memorial name to Moses, it was "Yahweh" or "I Am". And Muslims deny that Jesus is the eternal Son of God, very God Himself! My Bible says: 1 John 2:23 Whoever denies the Son does not have the Father;

There you have it. Islam does NOT have the same God as Christianity! Yahweh said it!

It will be interesting to see the new Pope's approach to relationship with Islam.  The end-time belief of Muslims is that Jesus will return and point people to Muhammed.  Now this figures in the "new Biblical parchment" that disappeared from the news, that supposedly has Jesus confessing Muhammed as the prophet of God (although not Yahweh)!  The Pope claims the title "Vicar of Christ," which in simple English, is "Christ on earth," pretty blasphemous!  But that's how the End-time Muslim belief will play out.  When the Imam Mahdi appears (will it be Asshur, Moaz al-Khatib - Micah 5:5-6?), the Vicar of Christ will stand with him and confess Mohammed, the man who married a 9 year old girl, as the prophet of God.  The Mahdi and the Vicar are the men of Satan.