When I think of "Fixie" I think of deep V's, flat bar with then ends chopped off, no brakes and Lucas Brunelle style riding.
I tried to do that but felt silly. I got thirsty, reached down for a bottle and nothing was there. Its fine if that's your thing but it isn't mine.
Now I ride a road bike which just happens to be fixed gear. The only thing which separates it from a regular road bike is that it lacks shifters, derailleurs and a freewheel. I've ridden with groups where some don't even realize it is a single speed until a half hour into the ride.
"Holy badword, that's a single speed!" I usually just reply, "Fixed."
-Tim-