yeah i think we are all right on this one, specially the platforms comments. you can rock nice skid without having to go jamaican style on platforms, i know, ive done it. just a bit of kung-fu and not being afraid of bruising your thigh on your drops... assuming you have drops...
either way, what i wanted to say was my confidence riding fixed with clip rose because i had easy access another entire spectrum of pedal control (the pulling up) EASILY available to move my cranks and essentially the back wheel.
I felt clips afforded me more control in my slowing, better foot angle in my pedalling, and easier adjustments when something startles me in a trackstand. i found it felt safer riding in heavy traffic with clips. not to mention if you pull up AND push down when you ride, anything attaching you to the pedal helps.
but its up to you, specially since you ride brakes. you can do whatever feels comfy, of course
note: i said "easily" because its possible to pull up on platforms, ask anybody who pulls tricks.