To add my experience with this same stalling problem when first cranking cold and driving for a very short distance and letting off the accelerator petal; transmission or TC would shutter and then motor would stall out. Found out that if you were quick enough to place shifter into neutral, you could prevent the stalling.
How I fixed it: As Gordi and Pap both stated;
I changed all the filters using Mopar OEM parts. I also removed about a 1/2 inch off the bottom of the dipstick as it never seamed to want to go all the way into the tube properly. I refiled with AFF+4 and made sure the level was just above the full mark cold on the shortened dipstick.
And to date not a single shutter or stall has occurred!

I sincerely believe that correct oil level is the key?
_________________
Supporting Vendor and Moderator of LOST05 Jeep Liberty CRD Limited 
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