I have heard that 3.8s are notorious oil burners. So bad in fact that Jeep recalled the '09 engines for replacement. Also that the electrical system is plagued with problems. Leaks are the third issue that I've heard.
Are you sure that was an '09 that had engine recalls? I couldn't find anything on 3.8 recalls but might have missed something. Only recalls for 07-11's were mostly air bags.
The 2012 pentastar 3.6 had a bunch of recalls due to valve seat problems requiring head replacement though.
Most of the "electrical system" problems are one of two things in my experience: the TIPM (which admittedly is a bad design) and people loading on aftermarket parts to the existing vehicle, and usually cheap aftermarket stuff at that.
They throw on cheap garbage headlights, light bars, winches, remote starters, cameras and now they've got a ton of parasitic draw and other problems.
Any engine with 125k+ is going to burn a little oil. Mine is an '07 pushing 160k but the compression is in the 165 range across all cylinders. It was burning some oil but replacing the PCV valve resolved most of it.
The engines on these things don't have a lot of power....but as long as you gear it correctly for the size tire/transmission/engine you're fine. As mentioned, something like a Pedal Commander is also a nice add on for response....but the gearing is the real fix.
I have no trouble going 70 up a 7 mile steep grade after regearing on 35's with about 3k RPMs. Going 70 on flats at about 2400 RPM.