Theists and atheists have two different Gods, which are in war. That is why the debates are pointless.
Nope. Theists have many gods, atheists have no gods. That's the dictionary difference between the two.
Hindus, Pagans, Jews/Christians/Muslims all have different gods.
As a Christian I worship the one God of Abraham who I confess and worship "in Trinity, and Trinity in Unity, neither confusing the Persons nor dividing the Essence." Jews and Muslims also worship the one God of Abraham, though they worship Him differently than I do. Hindus, depending on the school of thought, either worship very many gods or worship one god with many expressions. [Neo-]Pagans, usually, worship a pantheon of gods--Kemetic Pagans worship the Egyptian pantheon, Hellenistic Pagans worship the Greek pantheon, Asatruar worship the Norse pantheon; in addition to these there are myriad folk religious practices, including Shinto which recognizes the many kami; often blended or syncrenized with other religions, such as with Buddhism or Taoism.
There is no singular "God of Theism" because theism is a broad stroke that describes the belief in gods or other similar divine beings or spirits.
Atheism, by the very definition of the word, means not-theism. That is where theism is "god-ism" atheism is "no-god-ism".
If you want to try and have a discussion in the real world you have to actually use real world definitions.
-CryptoLutheran