In fact (and despite the comments above), NO the three Monotheistic Faiths do not worship the same Being.
I don't know if there is an equivalent of C.S. Lewis' "Mere Christianity" for the other two faiths. I am sure that there are analogues for Luther's "Small Catechism". (Yes I'm sending you to better theologians than I.)
Compare and contrast the attributes of the Supreme Being as expressed in the unique sections of their Holy Books.
It is possible that (1) the Being who called Abraham "My friend" is the same Being (2) who Jesus of Nazareth described as his "heavenly Father". But it is not possible that same Being (3) sent a messenger to reveal Himself to Muhammad; that Being is described differently.
The professor's biggest problem, were I on the review committee, is that she speaks in the manner of those who endorse the Big Warm Lovable Fuzzball in the Sky. I expect her to know better and speak more precisely than that.