How does it drive up to the death wobble ?
Does it wander follow truck ruts do you have to fight to keep it in a lane ?
Can you tell whose lift kit it is ? Only a few make a 6.5
Look at top of springs and see if there is spacers if there is its probably a pieced
Together lift and that could be part of the problem bunch of stuff that dosnt work well together
Also check your rear track bar and links for tightness
The steering stabilizer is on the tie rod and diff not on drag link to body right
Have seen it done and yes I'd dosnt work loo