First, let me say that I agree with your statements. But let me be more specific, what proof is there in the “Torah” the ”Psalms” and (or) the “Gospel”  that the ancestors of Mohammed were really the descendants of Ishmael? They confirmed “Jesus” ancestry, not Muhammad.   

When Moses, the first Bible writer and first prophet to be sent to the descendants of Jacob, went to Israel he was well fortified with miracles to prove his divine mission. See Exodus, chapter 4. Likewise, when Christ Jesus came, he performed so many miracles that all those who had not let themselves be blinded with selfishness had to admit that he was sent of God,—John 7:31; 10:37, 38; 14:11.

Anyone could claim to be sent of God. Moses and Christ proved it by the performance of many miracles, but where were Muhammad’s  miracles? He confessed in the Quran to having none.—See Suras 2:118; 10:38; 11:13; 6:109, Ali.

*I will get into the Alhadith or Hadis in another topic I will post.

Historians say that the family of Mohammed was a  family which lived in Saba-Yemen. In the 5th century A.D., Qusayy Bin Kilab, the 8^th ancestor of Mohammed, gathered an alliance of many Yemeni families forming Quraish, the tribe from which Mohammed later came.  These families only came to occupy Mecca in the 5^th century A.D. The city of Mecca was built by the tribe of Khuzaa'h in the 4^th century A.D.

Mohammed’s family is not connected to any Ishmaelite tribe because Mohammed’s family didn’t leave Yemen until the 5th  century A.D., and that’s about  1,100 years  after the Ishmaelites disappeared.

The genealogy fabricated by Ibn-Ishak contradicts the sayings of Mohammed, who expressed his ignorance about his ancestors prior to his 17^th ancestor. Ibn Ishak was considered by the Muslim scholars of his time as being guilty of forgery and fabricating false genealogies.

Long before Ibn Ishak, Muslims who lived in Mohammed’s own time also fabricated genealogies in an attempt to connect Mohammed to the descendants of Ishmael.  Mohammed, himself, rejected all of these false genealogies, and he put limits regarding the genealogy of his ancestors. Regarding Mohammed’s own rejection of the false genealogies, Amru bin al-As wrote:

Mohammed genealogized himself regarding his ancestors until he reached al-Nather bin Kinaneh, then he said, “anyone who claimed otherwise or added further ancestors, has lied.”

By this, Mohammed confessed that neither he, nor anyone else, knew about his ancestors beyond al-Nather bin Kinaneh. Nather bin Kinaneh is the 17th ancestor in the genealogy which Mohammed recognized as true. Other narrations of the customs, or sayings, of Mohammed, called Hadiths, show Mohammed refused to be genealogized prior to Maad,  معدwho some suggested, was the 4th ancestor prior to al-Nather bin Kinaneh.

Many versions of Hadith of Mohammed coming from the followers of Mohammed all report that Mohammed opposed to be genelogized until Ishmael. All his closest contemporaries and followers considered the genealogies appearing at his time to be false. Among the people who reported Mohammed’s opposition to such genealogies were his wife, Aisheh, and his cousin, Ibn Abbas, one of the most important reporters of Mohammed’s Hadith.[iv]  Ibn Ishak went against what all these people had said by creating genealogies which connect the ancestors of Mohammed with Ishmael.

We urge Muslims to study history, and to compare the facts to what they have been told in the Qur’an and in Islamic tradition. The claims of Mohammed, the Qur’an and Islam are clearly unfounded. Even if such historical errors were accepted by the followers in Mohammed’s time, we now have so much more evidence which proves them in error. How can one embrace these enormous mistakes, when a simple study of history demonstrates how misinformed they are.

There is no evidence apart from the later Muslim traditions that Ishmael ever married a Jurhumite woman, the Torah indicates that he married an Egyptian. Muslims do accept the Torah. On the other hand the Hadith claims that after settling in Mecca Ishmael married twice, and both of his wives were of Arab descent. (Now you see why I must discuss the Hadith at another posting!)

If TRUTH is to be imparted please open your heart to these sincere sayings, because…..

I am bearing witness to everyone that hears the words of the prophecy of this scroll: If anyone makes an addition to these things, God will add to him the plagues that are written in this scroll; and if anyone takes anything away from the words of the scroll of this prophecy, God will take his portion away from the trees of life and out of the holy city, things which are written about in this scroll.

 “He that bears witness of these things says, ‘Yes; I am coming quickly.’”

“Amen! Come, Lord Jesus.”-Revelation 22: 18-20