I can't believe you're getting your panties in a knot over this one, lol
God is just a term. The meaning will depend on whoever is using it. You're right nobody has the copyright over it. At least muslims do have a copyright over theirs, I mean, if the OP had said, where is Allah in all this, everyone would be clear what was meant.
God can mean anything. In some native tribes, the term for God=rain, or mountain, or whatever.
If christians wanted to own a brand, they could use terms such as Jehovah more.