Most people find AA and AVRT to be incompatible given that the AA program is so full of Addictive Voice. AVRT is about self mastery - no dependence on anything other than oneself. Also we don't seek to have the desire removed for us, but instead learn to live with residual desire by separating from that part of ourselves. The idea of one-day-at-a-time is Addictive Voice since the Beast of addiction is more comfortable with the idea that tomorrow is always a new day and will keep that hope alive. AVRT squashes that hope and says never again.
If you are looking to leave recovery groups then Rational Recovery can be very helpful to you as it will help you see through some of the collective addictive voice that you've be exposed to. AVRT is not a program, it's a thought filtering technique. Any thought, feeling, or image that supports future use or doubt about ones ability to abstain is labeled as AV and dismissed.