AFAIK, AA doesn't make you swear on the Bible or profess one's faith in Christ before you're allowed to join a meeting.
You can ignore the religious stuff and still make use of AA's highest-impact features:
- regular meetings, no appointment required
- being open and vulnerable in front of other people who understand the hell of addiction in ways your partner or family won't.
- having an accountability partners to call during moments of temptation, and having that reciprocal commitment is a far stronger deterrent to relapse than calling a crisis hotline offering scripted responses.