Just a quick FWIW. Technically tradition 3 does not specifically mention the word "God" but that let's no one off the hook. The tradition goes on to say that "any 2 or 3 "Alcoholics" gathered together for "Sobriety" may call themselves an AA group provided they have no outside affiliation."
Therefore the tradition states you must be "Alcoholic" and you must be there for "Sobriety"
"Sobriety", by AA definition, is "the freedom from alcohol through the teaching and practice of the twelve steps"
So, there is no "Sobriety" in AA without God.