The renegade transmission isn't radically different from normal ones, at least not shifting through the first 5 gears (or 4 for trailhawks since first gear on those is low range only).
And there should be no slamming when the dog clutch engages/disengages to take it from 5th gear to 6th gear and 7th gear to 8th gear. The engine is not supposed to put any power through the transmission until that dog clutch is fully engaged or disengaged because there is no slip in that type of gear (if there was, it would be destroyed).
That special dog clutch is the reason for the lag when you floor it on the highway and it has to downshift through gears 8-7 and 6-5 and the engine cannot apply any power during those shifts.
When you accelerate from a dead stop it should operate and shift like any normal automatic transmission from first through 5th gear.
If it is slamming, that means it is malfunctioning. It shouldn't slam on shifting into drive, or through 5th gear, there should be NO POWER at all applied by the computer when shifting into 6th and 8th (and hence no slamming whatsoever).
The only thing special in these transmissions (dog clutches) engage on the highway only, and there should be no slamming whatsoever when it engages/disengages.
What it boils down to is there's something wrong with your transmission.
Before the fuel economy requirements got unreasonable, transmissions were simple and we didn't have these kinds of problems. 9 gears is RIDICULOUS. Loose rings that consume a quart of oil in 2000 miles to gain a little bit more fuel economy are RIDICULOUS.
The auto companies had to do such stupid things to make cars that would meet the new fuel mileage requirements.
The way this transmission works (and how dog clutches work) is explained in detail here.