i just drive my dodge 4x4 in reverse everywhere, no death wobble on rear tires ever.

I had to drive 69/75 all the way to Big Cabin. Had I driven in reverse probably no one in Oklahoma would have noticed anyway. Them Okies all act like they is driving in reverse anyway.

Tundra 4 door crew cab with short bed is amazingly smooth. And no death wobble. It is not a 4x4 but great boat trailer and family ride. I added the leather package and back up cam. No issues here.

Cool story bro

Google wrangler death wobble.. might get provide you some info

I had 04 dodge dully 4th diesel slt with 243000 miles. It cost me $1400 and change. Kirbyville brothers in sulfur springs did a great job. But a few months later the AC went out. The moral of the story me no gootie no more I got 2014 he mi 1500 and treating the pavement up lol

yeah I had a Ford car that did it... Its more prone on Cummins equipped rams due to mediocre front suspension with a heavy engine.
Ball joints, trackbar, and proper alignment are some common issues that help magnify it. Another more commonly overlooked issue is the use of "D" rated tires on a Cummins powered Dodge... the sidewall is not stiff enough.
My 06 has the updated parts( the 4500-5500 steering components) is on stock "E" rated BFGs, has Bilstein 5100's, and a BD Steering Box Stabilizer. Truck has NEVER had DW and on a straight road you could remove the steering wheel from the truck.

The wrong rated tires is what I have had the most issues on Dodge 4wd. So yea, the Dodge front ends are pretty weak! The Trac bar is a whole lot thicker than the factory one! If its 2wd, then more likely you have a ball joint or tie rod issue since there's not much left! Its not rocket science!

Cooler story.. (and no longer own a dodge)

A MASERATI in front of me. traffic stopped, long long jam.
pushed the TOYOTA FJ 4WD lever, turned the smooth steering wheel, went thru the mud, climbed the embankment, got on the service road and TOTALLY BLEW AWAY A MASERATI. So to speak.
muhwahahahhaha

On the ford twin eye beam the rivets that hold the I beam brackets on to the frame loosen up - causes death wobble put in bolts. On the dodge get a track bar from mopar they work good. Check all rivets and see if any are loose on the brackets to frame. Also the stabilizer upgrade is a good call ! To see if a tire is the problem just rotate them and see what happens.