I too am not an alcohol drinker, but I was more than covered when I went to Alinea a year ago. They had 3 non-alcoholic homemade sodas (basil and orange, thyme and cherry, and a lemon soda that tasted like a great Sierra Mist) - all of which were outstanding. In terms of beer, I don't think they had a separate pairing, but my Dad had the wine pairing and they did pair a few of the heartier dishes with beers. So, I suppose it's more of an alcohol pairing.
1723 N Halsted St, Chicago, IL 60614