Have you been able to reproduce this during a long drive? I'm pretty sure just because you set the temp to 60, doesn't mean 60 degree air will constantly come out of the vents. I'm pretty sure the system uses a proprietary algorithm, in conjunction with data from a number of sensors, to achieve on average, close to, a cabin temperature of 60. (I've had previous vehicles with climate control systems, auto+manual, work the same way)
I do agree with your observation about an influx of very hot air, immediately upon starting up the HVAC system. It seems to do this for a number of minutes, before slowly coming back down and regulating itself. I also agree with you that this is annoying, and causes me to frequently overheat for the first part of my drive. Particularly if I'm making a bunch of small trips, like running errands.
Conversely, I have found that if I'm patient and let the HVAC do its thing uninterrupted, for instance on a long drive, it does a very good job of getting beyond this hot-startup phase and doing a phenomenal job of maintaining the cabin temperature that I have chosen. Even when environmental factors change, like the sun comes out from the clouds and beats down into the cabin, or in the evening when the sun sets and ambient drops significantly.
If it's just during the initial start-up like me, there must be something in the HVAC software either intentional or unintentional. Maybe the Jeep engineers had some purpose in mind for this hot-startup phase.
If you find that it won't regulate itself after a short while, take it to the dealer. Maybe one of your HVAC sensors is bad, or the unit itself somewhere like ColdCase mentioned.
89 XJ (Ltd): RE 3.5", full leafs, 3/4" coil spacers, RE monotubes, JKS Adj trac, tcase drop, OME steering stab., BFG AT 31x10.5xR15s on 15x8 3.75bs, Borla cat-back
14 WK2 SRT: DiabloSport catch can, Borla S-Type