I had a tough time in AA because I am an atheist. I learned a lot about stopping drinking and getting my life back together, but there was definite tension around my atheism. After eleven years in AA, I finally stopped going. I wasn't getting anything new from the program and I wasn't a good "Oldtimer" because I don't believe in God and said so. It was perfectly okay for a person new to AA to be atheist. [Although I heard "Keep coming back!" a lot.

] It was much less okay in my home group and regular meetings for a Deacon or Oldtimer to be an atheist because I was setting a bad example. I miss my AA friends, but I don't miss AA meetings.
If you don't like the approach of AA, but think a group would be helpful, you could try Women for Sobriety or Smart Recovery or SOS.
http://www.smartrecovery.org/meetings/index.htm
http://womenforsobriety.org/beta2/
http://www.cfiwest.org/sos/find.htm
If AA is the only option for you, I found "Zen of Recovery" very helpful for working the 12 steps as an atheist.