DUI and Citizenship
Alcoholics Anonymous is by definition a private organization, and no one needs to know that you're a member. Your involvement with the organization will not have any bearing on your citizenship application - and good for you for addressing your problem.
Again, get yourself an attorney before doing anything. The same advice goes for anyone with a criminal record. USCIS regularly denies applications (and starts deportation proceedings) when the applicant finds himself on the wrong side of the law.