Not so that you can tell, I have been on it lots of times and never felt a thing.
shocks will not cause car to sway side to side...need to check sway bar...soonnn
A bad sway bar will cause vehicles to shift from side to side more easily when turning. The sway bar provides stability and limits motion.
sway
sway
A sway bar is a torsion bar mounted laterally on a suspension and is designed to reduce side sway. The sway bar attempts to accomplish this by transferring movement from one side of the suspension to the other. This is done through the connection of a torsion bar to each side of an axle by flexible links. (Sway bar links)
Swagger or Stagger.
So the Jeep won't sway side to side on turns. Also keeps the body on the frame more securely
Sway
listen to calming music and sway slowly side to side. DO IT
Anti-sway bar or shock broken.
I think your rear shock absorbers are Kaput. You may also have a broken sway bar.
Ensure all sway bar links are good (front & rear). Make sure front end is tight and struts are not worn.