Part of the problem, as I see it, is calling Islam one of the Abrahamic faiths, which it is not. (And neither is rabbinic Judaism, nor a faith-less Christianity.)
Abraham is the father of the Israeli/Jewish people; can be said to be the father of Arab people through Ishmael, and also Esau/Edom, who married a daughter of Ishmael; and is the father of all who believe in his God, YHVH, and in His Son, Yeshua/Jesus/Yasu, as the Messiah, Son of the living God.
Islam does not believe in this God, therefore Muslims are not sons of Abraham, and neither is their faith in the God of Abraham, of Isaac, and of Jacob/Israel. Their God is not the God and Father of the Lord Jesus Christ.
Yeshua said that He did not come to bring peace, but a sword, to the world. There is peace for all who repent and believe in Him. But His covenant divides families, nations, peoples — just as happened in the family case between Isaac and Ishmael, and between Jacob and Esau — and in the nations which have come out from them. Within those nations, there are those who do believe and those who do not. God is looking for faith in Him and His Word — in His righteousness — that all who believe may have His peace, even while the sword is still discomforting the others.
The Bible must be our highest and ultimate authority for what is truth — otherwise there is just much confusion of faces — for it is the written and abiding Word of God who governs and judges all, and to Whom we will all give account. Distortion of truth needs to be refuted and repudiated in our battle to bring every thought captive to the obedience of Christ.