USCF 1J3 (bicycles)
"only a bicycle with a singel cog fixed wheel and w/out deraileurs, brakes, or QRs may be used. However, in pursuit and TT events that are not championships...brakes, freewheels, QRs, and deraileurs may be installed so long as only 1 gear is functional".
having cited that, i still doubt individual track owners would allow QRs, brakes, or derailures in any case. Maybe have a BB height requirement. Call the track and find out for sure.