Not all people who aren't Jewish are Arabs. According to your definition Brother Daniel (who was born a Polish Jew named Oswald Rufeisen and during WWII was a hero of the Jewish Resistance) became an Arab when he changed his religion. Oswald Rufeisen is an unusual Arab name.
U.S. confirms ISIS computer expert killed in air strike (Reuters)
from the article: Closing the gap between Israel's Arabs and Jews