I've completely stripped the interior of my car and i can honestly say it does feel a little different when driving it.
Get the lot out, door cards, rear seats, carpet, underlay, head lining, Aircon....what ever you can but remember your going to have nothing in there and it won't look great at all. To be fair it's not worth it IMO....
The only reason i have done all that is to replace the carpet underlay as i was sourcing a leak and it's ten times easier with a blank canvas. It will be back to normal within a couple of weeks however.