You're exactly correct - the 2014-2015 Jeep Cherokees have sometimes created a tremendous wobble shaking the coach violently - nothing to fool with! It appears that Chrysler has developed a fix for it. They designed a wiring harness that will provide power to the steering stabilizer while towing. They also install it. Campers, as we speak, have had their fix installed and are towing the Cherokee. I haven't heard of one problem - yet. So it appears that the problem is fixed - however, lets wait 'till end of camping season to finally evaluate the fix/problem.
However, it does bring up another area of consideration. How many towed vehicles out their have the same front end as does the Cherokee????? If Jeep had problems, shouldn't those vehicles have the same problem??? Maybe the problem needs to be expanded to other auto manufactures. I definitely plan on having mine checked out the next time I'm in for service.
Just thought I'd expand a little on your comment. If you want more info on the problem, contact BV @ email@example.com