The structure overall is poorly designed on the Wrangler, I have a 2004 TJ with a 2.4 and automatic and it has been a serious problem with this vehicle, I think because of being lighter. On ours new tires will fix it every time (our vehicle). Death wobble is not a one thing situation. I am converting to a 4.0 and acquired a 2005 crashed TJ with complete drive train electronics and the body removed, this gave me a good view of how these things are built.
I have always felt that serious death wobble to me shook everything, I couldn't read the speedometer when shaking so bad. The the spring towers are on the frame near the engine mounts and there is no crossmenber anywhere near, and the engine is mounted on rubber bushings able to flex. The only crossmembers are the round tube all the way to the front and the transmission support/skid plate.
It is common practice on high performance cars to connect the shock towers with a brace, and these cars have good structure already. The TJ frame is a light box structure that is able to act like 2 torsion bars and flex with the engine hung in between them. Many times it starts with the bump or a series of things (there was a spot on one road that always got it going) that get the oscillations going through the track bar and suspension and then all hell breaks loose.
I owned a 91 Land Cruiser 80 series, solid front axle and coil springs, there's no way for death wobble to go rampent in that thing. It was structurally very strong, even having a tube crossmember at the track bar mount. I have to build engine mounts for the 4.0 and will design them to make the frame stiffer through the spring tower area and engine mounts.
Well, that's my rant on death wobble for what its worth,,,,,,,,,,,,,