The meaning of the Arabic word "Allah" is the same as the English proper noun "God."
If you want to believe otherwise, you can do that. If you want to exclude Jews, Muslims, Mormons, Baha'i, etc from the American language, you can do that.
Well, this is why it matters.
Jews and Christians worship God. The others worship something else.
If you want to live in the kind of country you get when you worship the god of Muslims, Mormons, Baha'i, etc; then, be prepared for your women to live in slavery and to live in a mud hut.