My ghetto fixie is my one bike without clipless pedals. I ride it around town, and make no point to go any slower than I would on my other bike.

I tried straps, but I couldn't get my feet and then couldn't get them out. Made me very nervous, since long-term trackstanding isn't one of my skills.

I don't think there's any danger with clipless and platforms as long as you have a brake. I'd wear shoes, though.