Not sure if it would even be possible to base specific site functionality on a badge, but if it is..
What do you think about disabling the the "You haven't voted on a question in a while. Questions need votes too." popup ONLY for users who have attained the Electorate badge? Having this badge proves that the user understands the importance of voting on questions and does so often.
This idea came to mind while I was /review'ing first answers and late answers (which is why I had a stream of only answer votes).