Unless I am thinking of a different smirnoff commercial....the song is by Quarashi and it is called Copycat. The commercial I'm thinking of has to do with a guy that is dog sledding in the beginning.
Just an extra bit of trivia.....the idea of the commercial with the dogs is taken from something that Quarashi did do...go to this website and click on Video and watch the video bio (first option.)
www.quarashi.net