Muslims don't! Their "God of Abraham" is not THE God of Abraham. Their profession doesn't mean much; apparently as much as the Catholic Church's profession which has aligned itself with the Muslims to "acknowledge" and "adore" the same Creator God. But, do YOU acknowledge and adore the same God as the Muslims? Your church does, and it teaches it. Do you believe your church?
Hoss
“Muslims don’t! Their “God of Abraham” is not THE God of Abraham.”
Is the God of Abraham a Trinity of Divine Persons? If so, then doesn’t that mean - according to your logic - that Jews never believed in THE God of Abraham?