Hits close to home for me. I'm rebuilding my whole suspension and lowering my truck. Largely triggered by DW incurred twice with foot on the mat passing 100. Once that's done I'll have to fix the seat where my anus bit a chunk out of it. LOL
There's a great many ways people have 'fixed' this issue. I've done a great deal of research on it. It basically comes down to two things: get rid of the slop up front, and dial in as much caster as you can.
If you've ever seen DW from the outside of a truck experiencing it, the tires flop back and forth violently, sometimes not in the same direction. Scary as hell.
For the third gen's Dodge has a TSB that replaces everything from the steering gear to the knuckles with more of a crossover type setup. Some refer to it as the "inverted T" as opposed to the "inverted Y" many came with. It keeps everything pointed in the same direction by connecting the drag link to the tie rod as opposed to the knuckle. Some 2nd gens came with this T style setup, as I understand it. If yours didn't, I'd strongly recommend it.
Whole package through the TSB cost me around 300 at the dealer.
Looks like this:
Keeps the knuckles spaced evenly throughout the suspension's travel.
The new configuration will require replacement of the steering stabilizer as it mounts differently. Go aftermarket. The dodge one is too proud for what it is. A good single stabilizer should be fine. Duals are overkill, imo, for a truck not driven fast in rough conditions.
All that'll do you no good if your track bar is shot. Being a 2nd gen, I'd opt for a third gen trackbar conversion. At the very least, replace it with a second gen and grab a
Lukes Link for it. If cash strapped, you could try a lukes link on your current one and it may improve somewhat.
Once that junk is replaced, you'll need an alignment. Ask the tech to dial in as much caster as possible and slightly more toe in than normal. The toe will wear tires a little bit faster, but greatly improve tracking and stability at speed.
If cash is tight, try the lukes link on the track bar, a new steering stabilizer, and an alignment as stated above.