As levy said, a K7N wont buy you much on an FI engine, and I have yet to see a supercharger system for a transverse mounted pentastar, but there are a few turbo options out there that could be adapted and are tried and true in the jeep world (this is the direction I am getting ready to go after the first of the year).
As far as the performance difference,
1. like shipo said, by design the 3.6 will make more power....but there is a lot of difference in how the power feel when you go from pushrod to DOHC....as much as I love my gen5, there are times on the freeway where I miss the rolling torque curve of the old 3.8...the 3.6 has more punch, and there are a few rolling hills on part of my daily route where I keep the cruise set at 75..in both vans that is/was just shy of 2k...with the 3.8 it would always pull it in overdrive, in the gen5 it drops to fifth....and if it grabs 4th, the fun really starts.
2. The transmission - you've got 6-speeds vs the old 4...1st is a lot lower which gets the weight moving very easy, and the spacing between the rest of the gears is really tight to keep it all on tap...
keep in mind, when you compare the performance of the two motors the designs make a big difference...the 3.8s could pull decent up to about 4500 RPM where they got winded and the real sweet spot was the 3k to 4500...with the DOHC and VVT, the pull starts at 4500 and runs to 6k....you gotta flog it a bit, and when you do it does proves it will hold its own.