A devout Christian asks do Muslims and Christians worship the same God despite the differences? The Quran insists that our God and your God is one.
Muslims insist there is only one God. Christians agree that there is only one God but they say that God is one in three. When Christians talk about the Father, the Father is the one that Muslims believe in to be the one true God.
So Muslims worship God and Christians worship the Father, it is, indeed, the same God.