Correction: Allah simply means
"God" "god" in Arabic. Maybe it will be good for Arab Christians to start using a different word for God. And I don't believe for one minute that Arab-speaking Jews use the term Allah, they have a beautiful selection of Hebrew names for the God of Abraham, Isaac and Jacob!
I thought arabic speaking Jews and Christians were using the term before Islam. Why should they be the ones to change?
When they speak Hebrew, sure. But when they speak in Arabic, they say "Allah," just as English-speaking Jews use the word "God." (Incidentally, the Hebrew word for "God," elohim, is from the same Semitic root as "Allah" (a-l-h).
I was once at a Passover Seder with some Jews of Middle Eastern descent, and they sang some of the Passover songs in Arabic, and used the word "Allah."