If you're stripping you need to go all out to see any real benefit. If its just the seats and boot carpet, you'll never tell.
What this man says!
its not really worth the effort if your just removing a few bits, its got to be all or nothing, or keep the comfort and enjoy the trip.
by the way you are writing I'm guessing the ring trip will be your first?
if so, you certainly don't want to be pushing the car that hard for a first visit, ie: don't strip it out to try and save a second or two, you really don't want to be worrying about that but more about taking your time to learn the track at a steady pace.
Some good advice in here. Leave it in unless you need the space to take over spare alloys etc
Worth a watch :
http://www.cliosport.net/forum/showthread.php?698434-Near-Roll-at-N%FCrburgring-on-Sunday
I wouldn't bother.