I did a test tow of my dads boat that was right around that weight, maybe a little more. And the KK did fine. I don't have the tow package just the class 3 hitch. While I can't "recommend" doing it because it is not rated for 5K lbs with out the factory tow package, mine didn't seem to be struggling. Keep in mind the factory tow package also comes with the electronic Trailer sway control program.
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(The worst thing you can do to a Jeep...is never taking it off road.)'15 WK2 Ecodiesel Overland (My Overland rig)
'11 Green KK Renegade (My Crawler!)
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