Typical Death Wobble Diagnostic Path:
1. Wobble at a certain speed, does it every time - tire /wheel related; low pressure , imbalanced, out of round, broken belt, lost wheel weight, damaged wheel, loose beadlock ring, unit bearing, bad brake rotor (I know of only one case of this ). This means the oscillation is triggered by one or more of these things ...and the speed helps to generate the energy .
2. Random wobble - normally a loose component, often the track bar or several steering components loose or cumulatively slightly worn. In these cases, a bump usually sets it off ..but here is where it gets fuzzy-
3 .(a combination of 1 and 2) In many cases, one tire or more isn't perfectly balanced, or was and wasn't rotated, ran low ,etc . ...odds are actually pretty good of this. ....so it is becoming a problem ....AND , with age , you have some wear in the steering linkage, a soft track bar bushing,an upper control arm bushing loose or worn ...so now you have a combination of tire causing it and the components allowing it .
Maybe it's 20% tire and 80 % linkage...but can be any combination of those numbers...say 16 percent one and 84 percent the other...doesn't matter ...same end result.
Now I'm not trying to make it sound impossible ...you only have 4 tires. Make sure they are right , and then dry test the steering by turning the wheel slowly from 10-2 and watch the connections as you change directions ...nothing should slip and the track bar should have minimal movement at each end. Some , buy like an 1/8 or less. Forget shaking things with your hand ..if they are that loose, don't drive it.
You don't have to drive a new Jeep up under it .. death wobble is just a jeeps demanding way of saying the front end needs attention.
There are some other far out , harmonic related issues that happen, but what I'm describing above is way more common.
Also , we now sell TJ Death Wobble insurance, and it's offered at a 10 percent discount to all members . You mail 19.95 a month, or do bank draft , directly to me , I buy all sorts of high end steering components, and I'm guaranteed never to have death wobble. I think that's real fair since I'm providing the service and doing all the paperwork.