Mr. Obvious, Here. The Jeep Has Been Thoroughly Checked For Leaks, Right ? Do You Park On Dirt ?
Rick, The reason I ask is that a TSB (Technical Service Bulletin) published for Jeep technicians addresses excessive oil consumption in specifically 2007 - 2008 Jeep Wranglers with the 3.8L engine (sales code EGT) and built before September 19, 2007. I believe 2007s are built approximately between Aug / 06 & Jul / 07.
This is more an oil "seepage" issue than burning problem caused by "front timing cover surface porosity" in the aluminum cover. They say the leak can appear to be oil leaking at the timing cover gasket leak, oil filter, unused oil adapter boss, oil pan, rear seal carrier, front crankshaft seal, but it's likely the timing cover.
The fix is a new Engine Timing Cover Kit (includes gasket), kit #68003438AA, oil filter, 6 quarts of 5w20, and 2.8 hours labor.