My sponsor is an atheist. No idea how he does it but he's very spiritual. I did not know this when I asked him to be my sponsor. But my wife who has been in AA way longer than I have and has been through several sponsors over the years agrees that this little atheist sponsor I found is a real winner.
He lives by the simple concept of treating others how you want to be treated.
My point here is that while most folks in the AA program are somewhat religious it's not a requirement for success in the program.