I would have thought firming up the suspension must help quite a bit, and making sure tyre pressures are correct for the load?
I've felt a wobble at high speed with a passenger before, with added top box weight and a head on wind, you're nearing to the point of doing a wheelie so the steering naturally goes light.
The 600's have a 187kg total weight load limit on them, which is fine for one person, but i'm about 100kg for instance, then add the always half full large top box and metalwork, possibly 25kg, and it leaves you quite limited as to the size of your passengers you can take, about 9 stone max in my case.
I bet a lot of people don't take these weight limits into consideration!