When I outboarded, I changed a whole bunch of other stuff while I was at it. Axle swap, re-gear, springs, shocks, SYE, etc,. It's hard to say what the exact affect the outboarding did, but it does ride very nice. It does not bottom out like it used to on whooped out trails. Also handles speedbumps and driveway entrances better at the mall without the side to side rocking.
I agree with Dave, the Jeep just feels more stable. You just feel it in the seat when you're driving it. I have had friends who own other jeeps drive it and they say that the quality of ride is surprisingly good, for a jeep. I have posted some of these pictures before, but...
'99 TJ Sport with some mods