A steering stabilizer dampens the vibration causing the wobbles but is not a cure. Wobbles come from out of spec alignments, worn ball joints (including tie rod & drag link ball joints) wallowed out mount holes, and tired bushings just to name a few. If you don't address the problem now, it'll grow worse until we finally see you posting "My XJ has a violent wobble when I hit 55 and wouldn't go away until I slowed WAAAaaay down" and it'll be a very scary experience because the steering wheel will be jumping around in your hands as if posessed and you won't be able to control your Cherokee. Then the rest of us will stroke our hoary chins as if wise and reply "Ahh, you have the Death Wobbles, Grasshopper."
You'll ask "What can I do?" to which you'll get a laundry list of things to check which will include the things mentioned above and the whole thing will drive you crazy because it won't go away until you replace all the worn parts, have the front end aligned & make sure every nut & bolt is tightened (including the one for the track bar tower). So for now, skip the "Yes, the steering stabilizer will help the wobbles" (which is just a form of denial) stage and go right to the "Holy cow! I've got Death wobbles-" stage and start trouble shooting. This way you can do it without the panicky "-and I nearly died!" part.
The very last thing you want to spend money & time on is the steering stabilizer. It may make your wobbles go away but not what's causing it. It'd be a bit like taking an aspirin to make the pain from a spike driven into your skull go away.
Do a search on Death Wobbles and see what we've been through. For myself, I've long since chucked the steering stabilizer and I'm running 5 - 6 inches of lift w/ 35 inch BFG MTs. I've fought Death Wobbles at every worn ball joint, loose track bar tower bolt and out of spec steering angle. I stress again, the only cure is to make sure everything is tight, adjusted correctly and not worn or bent. The ONLY part of the steering that will NOT cure or cause the wobbles is the steering stabilizer. If that isn't apparrent now, it will be soon
And yes, I know the joys of a wobble free Cherokee