No there are problems with the definitions.
The Arabs were Jewish.
No, Sephardic Jews are not Arabs. While Sephardic Jews have a long history in the Middle East and North Africa, they are not Arab.
The Quran was written by Jews, but…AI at its best…
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No, the Quran was not written by Jews. According to Islamic tradition, it was revealed to the prophet Muhammad over a period of 23 years by the angel Gabriel. While the Quran references many figures and stories from the Hebrew Bible, the Quran itself is not a direct translation or rewriting of the Jewish scriptures,
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Yes, there were Jewish communities in the Arabian Peninsula before the rise of Islam. Judaism was practiced in Arabia since at least the first century BCE, and some Arab tribes even converted to Judaism.
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Genetically, Jews and Arabs, particularly in the Middle East, are not drastically different and share significant common ancestry. Studies have shown that many Jewish and Arab populations, especially in the Levant, share a common Y-chromosome heritage. This suggests a close genetic relationship stemming from shared origins in the region.