Not sure how this is even a question - there are many names of God in Hebrew as well as in other languages (e.g., English: God, Lord, Almighty, etc.). Why should Arabic be any different?

Because Arabic might be considered an essentially sacred language within some Judaic ideologies, or have a status similar to that of any sacred language (Hebrew/Aramaic) and it might be that Judaism can recognize that the Ishmaelites had their own traditions about El/Yahwah; this question is tediously bonded with the question "are god's names in Hebrew essentialist or eternal in all reality"?

The answer is simply no. Would you upvote such an answer? All Allah means is The God...

robev, I am not sure your argument is correct because as far as I know "LA ILA ILLA ALLAH" means there is no god but the (named "Allah") god.

Just because some other religion pretends to make up a different name for a deity has no meaning for Judaism. It is just like xianity calling god jesus or greek making the chief deity zeus.

@sabbahillel It is both more and less than your examples. Your examples are "not God" in Judaism, by any definition. Whereas a single monotheistic deity by another name might be the same as what Judaism considers God. On the other hand, I posit that it wouldn't matter even if that is the case, because every language, including Hebrew has multiple names for God.

While I'm not familiar with Arabic dialects or the etymological origin of "Allah," I would imagine that the Hebrew equivalent actually does exist: א-לוה.

@Yehuda, as a word to describe אל or ala-we or alo-ha (אלוה) yes, it complies ; it even further complies with the arabic generic word for god "illa" (إِلٰهَ) but Allah is a name according to Islam.