Maybe you're not an alcoholic. 3 beers and stopped. If I were to do that it would be complete hell. I was told to see if I was an alcoholic never have more than 3 beers in an evening and never more than one per hour. Try that for a year, and if you stick to it, odds are you're not.
My experience with sobriety is we only sober up when we're desperate. For some that means multiple DUI's, jail, interventions, etc... for others it could be slurring your words slightly when reading your kids a bedtime story.