The Aramaic "el" and Arabic "ilah" share a proto-Semetic root mean small-g god. "Allah" is a contraction of "al-ilah", and means "the [one] God." Any decent Arabic-language Bible will use "Allah" for "God." As you have shown, "Allah" is much closer to the term that Jesus used for His Father than the Germanic "God".
I was startled the first time I attended a Mass in Turkish to hear the Creed open with profession of belief in Allah. However, that's not the name of a god, it's simply the Turkish word for God.