Actually, it wasn't a Jewish family... (not from Judah's line)
Lehi and his family are clearly
not Jews. They belong to the tribe of Manasseh (
Alma 10:3,
1 Nephi 5:14), and married into Ishmael's family, the tribe of Ephraim. (remember who Manasseh and Ephraim's mother was?) These tribes were carried away captive by the Assyrians, and did not contribute greatly to the current genetic mix of the Middle East.
Furthermore, the Middle East is located at the crossroads of three continents, and has seen a great deal of immigration, mixing, and intermarriage.
Sorry katz... Just sayin