I see my fixed gear as just another type of road bike to ride. I ride mountain, cross, road, and I commute on a bike.
I mostly view my fixed gear as a fixed gear road bike. I take it out on road rides just like I take out my geared road bike. That said, I also love to ride it around town. This is not something I would do with my road bike, even though I have a similar setup in terms of reach and saddle to bar drop.
What do you think?