What an honest appraisal of your situation, zad83. Honesty is a rare commodity in this addictive world.
As regards AA, of course, everyone there has the same problem so it is in no-ones interest to divulge information. That said, life is not perfect. Have people been fired because they went to AA? ...or because they were caught drinking? Most HR people now are educated in the need to get help with a problem that you inherited (from your genetic makeup), and can be very supportive if you are honest that you are seeking help.
Anyway, glad you have found this site.