Adding or replacing the steering stabilizer to cure Death Wobble is like placing a band-aid over a skin cancer. It's just not worth the $$$ since the real source of the DW is still there.
Two things to do right away that cure most instances of DW. Get the tires perfectly
balanced. Perfectly. The bigger the tire, the more critical this is. Next, check and tighten the lower trackbar mounting bolt to 55 ft-lbs for 2002 and older, and 45 ft-lbs for 2003 and newer. Out of balance tires are the most common trigger for DW and a loose trackbar is what allows the DW to develop once triggered.
Loose/bad bushings in the control arms can also allow DW, as can loose ball joints in the front end. Insure your toe-in is set properly too, 1/8" is a good setting to go for.
You can also have someone turn the steering wheel slowly back and forth for you while you sit underneath in front and look for something moving that shouldn't be. That can help pinpoint the true source of DW.
Any 4x4 shop that simply recommends some sort of a stabilizer to cure DW doesn't know their a$$ from, well, you get the picture.