It would take quite an incline to actually roll over; I would guess on the order of maybe 30 degrees or so (which is a whole lot more than it sounds like) in a static/low speed situation. If you're turning at speed, of course you have centripetal/centrifugal forces to also contend with. That said, I don't suggest going out and trying to find the limits; a motorhome is inherently more prone to rollover than a car or pickup, and there's nothing practical that could be done to change that. (Basically, the center of gravity is unavoidably higher with relation to the wheel tread width.) However, in general maneuvering around campgrounds etc. you don't need to worry about tipping over, nor for general driving if you don't try to speed around curves and corners. At least from what I've seen--not a scientific or statistically valid study--I think most RV rollovers are caused by either driving off the road, by sudden turns (like evasive maneuvers), or by collisions with another vehicle.
Most of what you're feeling is probably a combination of sitting higher up on the vehicle, which magnifies how much sway you feel, and maybe not the greatest roll damping. Upgrading the anti sway bars (and other suspension upgrades) can help somewhat with the latter one.