THE CHRISTIAN GOD AND THE MUSLIM GOD: Are they the same God?

There is one God.
Obviously.
To say there is no God would be escapism — or head-in-the-sand-ism.
To believe in more than one God would be paganism.
Christians believe in one God, and that he is a Trinity.
God, who is one and unique in his infinite substance or nature, is three really distinct persons, Father, Son and Holy Ghost
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Today, the Sunday after Pentecost, is set aside as TRINITY SUNDAY.
In the Gospel passage read in all churches today, Jesus affirms to his disciples the unity of the divine nature and the trinity of the divine persons.
From Saint Matthew’s Gospel:
Then Jesus approached and said to them, “All power in heaven and on earth has been given to me. Go, therefore, and teach all nations, baptising them in the name of the Father, and of the Son, and of the Holy Ghost, teaching them to observe all that I have commanded you. And behold, I am with you always, until the consummation of the world.”
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So do Catholics and Muslims worship the same God or not?
The key Christian beliefs about God are that God is a Holy Trinity, that God became man through the Incarnation of the Second Person of the Trinity, that Jesus Christ is truly God and truly man, and that Jesus died by crucifixion for our sins.
Muslims deny each of these four beliefs.
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The Bible says, “Whoever does not continue in the doctrine of Christ does not have God”. (Second Epistle of St John, chapter1)
God, as introduced to us by Jesus, is, therefore, emphatically NOT the being talked about when Muslims speak of God.
Yet the Second Vatican Council taught that “together with us they (Muslims) adore the one, merciful God.” (Lumen Gentium, 16)
What a betrayal of the Faith – enough to make you wonder whether the Second Vatican Council was perhaps not a genuine Catholic council, but an act of treachery
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