I know when I stopped drinking first time round it worried me too. As time went on I realised that I didn't have to explain myself to anyone. I just said I don't drink and left it at that . For most people it's no big deal and they really weren't that interested.
People who were interested and probed further often had their own issues with alcohol. I've learned that I don't have to explain myself to anyone. Most people would be embarrassed or really not interested with too much information or long explanations.
I don't drink is enough