Move the bike to the other tray, the one that's further aft. That'll give you at least another 20" or so away from the exhaust, if your rack is set up like mine.
Other option is to mount a set of old alloy-rim wheels while transporting the bike, and put the fancy cf wheels inside the car. Or just roll the dice.
Oh, I got your reference -- Kaut makes something to do what? Raise (vertically) everything? I would probably do that, just to be on the safe side.