As I have an SLT, I don't have the option of manually selecting the gears in my auto tranny. If I had the R/T's transmission, I believe I would use that feature quite frequently, and almost always in situations where I can anticipate something that the transmission can't.
The first example is downshifting prior to ascending a steeper grade. The second, that I seem to find myself in more often than I like, is when I am behind a slower moving vehicle and there is a line of vehicles in the passing lane moving just a bit faster, but close enough together that unless I merge at their speed I'll disrupt their flow.
In the first case, some speed is lost before the transmission realizes it needs to downshift. In the second case, the only way I can get the power I need to match the passing lane's speed in the time of the gap is to floor it to force the transmission to drop down a gear (or sometimes two it seems). In both cases, what results is a fairly violent reaction accompanied by a lot of noise and a swinging tach needle. Not nearly as graceful as running the RPMs a little higher for a few seconds in these situations so that the engine is already in its ideal power band when I ask for more.
Now, maybe the 4.0L makes up for what I'm experiencing, or maybe I'm still too used to driving a manual, but I can see the benefits of having the additional control of the R/T's 5-speed auto. I'll have to try the Tow/Haul button button in these situations to see if it does what I want it to do, as AirJunky mentioned. I never saw a real good description of its purpose and don't remember if I've ever tried turning it off/on at speed on the highway.