Maybe your alignment is off, or you used a crappy lift kit that doesn't allow for adjustments or proper caster, making the steering "flighty".
Or maybe it wasn't installed properly. The bolts could be under torqued and loose.
There are several ways to tighten up the steering. A steering stabilizer is the last thing to do that.
Start by telling us everything you know about your suspension and alignment, tire size and pressure. Often times some adjustable control arms or correction brackets to get the caster back into spec will make a huge difference. Other times people will notice the poor quality of all the factory parts and the looseness of the joints right out of the box. One very common source of problems is the front track bar. It's soft and bends, has soft bushings. The bolts are too small for the holes in the brackets, threaded the full length instead of shouldered which destroys the metals sleeves in the bushings. Once these get worn out, the mounting holes on the frame get ovaled out and looser.
Anything with the front track bar allows the axle to shift side to side which indirectly steers the jeep.