Sounds like when the front end gets lite...you are moving the bars. Relax and don't put ANY input into the steering until after the weight is back on the front wheel. You could upgrade your your steering damper, but even with the BEST one on the market if you move the bars when the front is off the ground or 'lite" it's gonna have some wobble.
If your damper is stock and you've never changed out the oil for 90wt...that would be a good start.
+1 90wt