The stabilizer will help if the steering gear sector shaft is loose (and it'll help prevent that bearing from being worn out too soon).
If the sector shaft is solid and the other steering components are solid, there are two things that can cause wander:
- The track bar is *really* loose. This should cause 'sharp-ish' wander as the track bar slops from one side to the other.
- The front suspension bushing are worn. This should cause more gentle-ish wandering as the axle more slowly wanders from side to side (because the rubber is softer than it should be, but not so worn as to allow the trailing arms to bang around).
- The rear suspension bushings can cause steering to wander if they are so loose as to allow the rear to slop side-to-side.
(OK, so I can't count....)
If the front suspension bushings are original from '95, replace them. Regardless of mileage.