While I concur with what has already been said (esp. about deceit in a relationship being the true deal breaker) and I see that someone else has already asked about the practical reality of how this could even be kept a secret, another aspect I would consider is how to have a successful recovery, how to put the odds on your side in terms of staying sober and serene in the long run -- is that really something that can happen while you are hiding the alcoholism and recovery from your wife? I would ask myself what is most conducive for my recovery? For me, I can't imagine the answer would be to keep all this from my spouse. I expect you'll have all sorts of stress to deal with, I can't imagine keeping up with the dishonesty to your spouse is an extra stress you want to, or can, keep dealing with.