Another thing you can do to check out a group, is find out what its ex-members have to say about it.
OTWOs experience is with an Athiest/Agnostic AA group, so there seems to be some leeway allowed between groups.
Some of the AA teachings are probably common to all of the groups, so you would really need to get whatever manuals they work from to make comparisons.
Do they all teach that: The program never fails, that it is the people that fail. AA is the only way to beat alcoholism. There are no graduates. You are in it for life. You will never finish your recovery. You will never stop going to meetings. You will never stop doing the Twelve Steps.
What if you disagree with some aspect of the groups teachings, how are you treated?
Try Googling the name of the group you are interesting in along with words like 'cult' and 'ex-members' and see what you get.