Eber was an ancestor to Abraham. Abraham was Hebrew but neither Jewish nor Arab. Arabs descend from Ishmael. Israelites descend from Jacob. Jews descend from Judah.
What am I missing?
The same root letters in the same "order" that you quoted in reference to chaos (darkness, mixture, etc.), are the same for "Arab": ayin, resh, bet. How appropriate!
To get order from chaos, you've gotta switch the letter order to ayin, bet, resh: Hebrews.
Boker tov!