Rob Christian and Al Fadi discuss the claim that Mohammad is a descendant of Ishmael. They use Muslim sources . First the Quran does not mention that Mohammad is related to Ishmael. According to a book called "History and Knowledge", vol1,pg 269 Al Abbas; Mohammad's uncle, said that Mohammad was a nobody to the Quraish tribe. Another source is Life of the Prophet by Ibn Kathir vol 1, pg. 51; it says that there is a broken lineage between Adnan and Ishmael. Omar Ibn Al Khattab said that they only carry the lineage as far as Adnan. So Muslims can not back up the claim.
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New Podcast Let Us Reason - A Christian/Muslim Dialogue