Track bars usually fail at the joint - unless you really deform one offroad.
Lateral (horizontal) movement of the trackbar is a no-no.
If the steering stabilizer is truly shot then that could be the culprit. Is there any visible oil leakage? If not, the best way I have heard to test the stabilizer is to remove one end - the easier of the two (can't recall which at the moment)and manually acuate the stabilizer. If you feel any spots in which there is little or no resistance - a dead area - it's bad.
However, if the stabilizer is not bad and you replace it you are just masking a problem that will eventually occur again even with a newer stabilizer.
93 ZJ 4.0, Rancho 9000's, Rancho Stabilizer, Splitfire plugs, BFG A/T 235/75/15's
More to come...