Abrahamic religion influence on identity?

God made a covenant or agreement, with Abraham, He promised that He would make a great nation out of him, that all the families of the earth would be blessed by means of him, and that his offspring would possess the land of Canaan.
God later reassured Abraham that his offspring would become as numerous as the stars of heaven. Abraham put faith in that promise. Yet, Abraham’s beloved wife, Sarah, remained childless. Abraham had other children, but it would be through Isaac that the Deliverer promised in Eden would come. Genesis 3:15

The emphasis of that first prophecy is on the word offspring. Genesis 3:15 says, "And I will put enmity between you and the woman and between your offspring and her offspring".

That offspring had more to do with a plan to fix the mess mankind now found themselves in, then a religion they would become.

The Hebrews, as they were called, also known as Jews, came through the line of Abraham. Jesus was born through that line, fulfilled the prophecy and created a new agreement with his followers, according to (Hebrews 9:15) "That is why he is a mediator of a new covenant". The word Christian, or follower of Christ, became a way of life for many.

Islam, which was founded by Muhammad an Arabian who was born in the latter part of the sixth century, was not a direct offspring of Abraham. The early Egyptians, who some claim Muhammad descended through were not worshipers of Abraham's God.

So the question is who exert a stronger influence on the followers identity?

The Bible at (Matthew 7:21) “Not everyone saying to me, ‘Lord, Lord,’ will enter into the Kingdom of the heavens, but only the one doing the will of my Father who is in the heavens will.
So only those complying to God's requirements, fall in line with the Abrahamic religious
identity.

For more information on this and other related subjects please see, jw.org