I thought this was awesome! As someone who has organized and executed a dance skit, I know how hard this can be!
I actually think that the change in music is part of the comedy. You had a spoken intro and a spoken punch line which explains all the silliness. It's hard to mesh characters and I like the approach you took. A lot of people do the, hey how do we get home? I know we should dance! And it makes no sense. Not that skits have to make complete sense, but the "story" you added explains the entire few minutes you're on stage!
Fear the storm, it's coming.