Islam is from Ishmael, the boy born from the concubine who sought to chase away Sarah and then started whining in the desert like muslims do all the time.
So, indeed, Moses and not Abraham represents more accurately the jewish legacy. As a matter of fact, the very message of fleeing slavery to the promise land is a key text forshadowing the work of salvation. Abraham did not go through such language fundamental to Judeo-Christian belief.
You don’t think Abraham’s answering the call of Jehovah is an example fundamental to the Judeo-Christian belief?
He left the comforts of Ur’s civilization, moved his family to an unknown land, was tested and tried and remained faithful through it all. He is held up as an example of faithfulness and righteousness repeatedly, particularly in Romans and Hebrews 11.
There’s nothing to be gained by trying to pit Abraham against Moses. Both were admirable servants.
And it was Sarah who chased Hagar away into the desert.