Actually they do not.
Judaism only came about during and after the Babylon captivity as a corruption of what they had followed from Moses before. Judaism established their doctrines on the sage writings that became the Babylonian Talmud, a work of their own traditions which they put before the Torah (Books by Moses) and the prophets. This is why Jesus rebuked them, because of their traditions having made The Word of God of no effect (Mark 7:8-13).
Islam hinges on what Mohamed claimed, not on Abraham. Before Mohamed came, many of the Arab peoples were following idol worship of false gods, Molech, Chemosh, and the like. Mohamed simply co-joined his claimed revelations with a new twist of worship of those old gods. To this day, Chemosh worship by Muslims continues, as the Muslim is required to make a pilgrimage once in their lifetime to Mecca and march around the Mecca stone while citing verse out of the Koran. The Mecca stone is a black stone, which was also the symbol of old Chemosh worship (see...
https://www.bible-history.com/faussets/C/Chemosh/). Molech was the fire-god of the children of Ammon. He required human sacrifices, which have continued in radical Islam with the practice of suicide in jihad. The only connection between Abraham and Islam is that Ishmael, the father of the Arab peoples, was a son of Abraham and Hagar, and his family is jealous of the children of Abraham and Sarah, thinking Israel stole their birthright from God.
The connection with Abraham and Christianity is unique and isolated from Judaism and Islam. The Faith which Abraham had, and God accounted to Abraham as righteousness, is the same Faith on The Gospel of Jesus Christ which all Christians have believed. Apostle Paul showed this in Galatians 3, and even proclaimed those of Faith have become the children of Abraham. The promise by Faith God gave Abraham is The Gospel of Jesus Christ. Neither Judaism nor Islam accepts that Faith.