Do a Google on "Jeep Death Wobble", John.
The consensus is that it can be caused by any number of issues.
Never had it on my '92 XJ (just bought it last Oct.), probably because she's pretty snug up front.
I'm not experienced in the matter, but I've read that a new stabilizer can just mask it.
If you go w/a new stab., this one is highly recommended: OME SD40 stabilizer
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http://kevinsoffroad.com/sstabilizers.html
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Anyway, good luck.
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BTW, I hear DW gives good pucker.