My fixed is deliberately as drab as possible, and has a rack and full 'guards. Deeply unhip.
But it came with a singlespeed, which I rode for a bit. First time I'd done that since I'd grown out of my Raleigh at about 10. It was OK, and better than I'd expected, but the few rises on my commute were a bit of a struggle. I swapped to fixed and it's all a lot easier. I run a relatively low gear (66.6"), so I tend to get away from the many red lights on my route ahead of the geared folk, many of whom are waving their arses in the air while I stay seated. It's not really comfortable to sustain a cadence of more than about 100rpm, which is about 30kph or so. That's fast enough for most purposes. Descending, I can get up to 40kph, which is the most I like to do on any bike in a busy city. My son, when I gave him a chance to ride it, got up to 52kph, which would be about 140rpm. Git. It's the track racing, I think...
Stopping. I used to not like it precisely because of the pedal position thing. And I carry at least a huge saddlebag (Super C containing clothes, many tools, first aid kit etc) and often a pannier as well at the back. I used to have to lift the saddle to turn the cranks, but now I've got the hang of planting my left foot firmly, and locking the front brake to lift the bike up. Didn't work so well on my previous fixies, because they had ageing sidepulls.
Biggest issue I have is if I'm trying to get down a narrow gap between a car and the kerb, cause I'm worried about pedalstrike. But mostly I wuold hold back and think WTF would I want to do that for.