Most 'wobble' is a track bar issue. Check your bushing on your front track bar and make sure it's torqued correctly. (55lbs at the axle, 110 at the frame). Rear track bar, same thing, check the bushing and torque (74 lbs both frame and axle).
Your shocks should be stiff so to speak. They shouldn't bounce at all. Those look like you have a little more play in them but that wouldn't cause a wobble. Going over a bumb it wouldn't absorb the bumb and sound like it was bottoming out. But wobble... That's a little different.
A forum community dedicated to Jeep Wrangler owners and enthusiasts. Come join the discussion about reviews, performance, trail riding, gear, suspension, tires, classifieds, troubleshooting, maintenance, for all JL, JT, JK, TJ, YJ, and CJ models!