I personally don't think that ballot initiatives to raise the minimum wage are the exclusive realm of liberals.
Think of it this way:
Joe Duckhunter in Gunrack, Arkansas, is currently making $6.50 an hour working at Wingnut's Garage. All day his boss plays right-wing talk shows on the radio, and his preacher at Backwoods Baptist Church likes to go on about how God nuked Sodom and Gomorrah because there were too many gays living there. Joe agrees with the sentiments expressed on the radio and by his preacher, but he also knows he isn't making all that much at the garage. Some of the state's politicians-- all Democrats-- talk about raising the minimum wage, and although Joe disagrees strongly with some of the core social issues of the national party, he decides he'd cast those disagreements aside if he could get a raise in pay. Lo and behold, a ballot initiative appears that will raise his wages by nearly $2 an hour within the next 2 or 3 years, and he will definitely vote for that. At the same time, taking this out of the hands of politicians also takes away one of the main reasons why Joe considered voting for Democratic candidates.