More accurately, they have choice between more freedom and less freedom. But if liberalism has taught us anything, it's that you should never underestimate the propensity of people to vote themselves less freedom.
This article points out that that is true not only in New York City and Massachusetts, but even so called Red States.
Someone who supports enforcing a dry county doesn't really have a philosophical problem with the government micromanaging peoples' lives and the economic interests of businesses, they just prefer that a local government do the micromanaging. They pretty much have the same basic philosophy that Obama does.