Do you have a rear sway bar?
No, never did. Tinkerer (youtube) did a test and showed that a rear swaybar didn't reduce articulation, I think because the rear still flexed to the limits of the shocks and bumpstops. But the swaybar will still cause that extra jolt when one tire hits a bump and the other doesn't.
Oversteer (rear end tends to slide out in sudden turns, ie drifting), like 1stDeuce mentioned? Removing a front bar, and adding a rear bar will both tend to increase oversteer (according to google). So for accident avoidance I don't think it's a good idea...?
But I honestly don't know. We shouldn't be driving these things like race cars, and for accident avoidance we should already be off the throttle... in fact I can't remember ever trying to dodge something in my life without applying the brakes first, and then letting off them to turn.
Also, if you have a vehicle built 2012 or after, it will have stability control which will prevent or greatly reduce oversteer. In general I pretty much hate that and traction control too, but it's there and it's a pain to turn off, so...
At present all I can say is that I can take switchbacks faster than the speed limit without the lean bothering me, and if I hit bumps while turning, or if I make sudden steering motions (for fun), it seems very composed for what it is. No wallowing or strange motions anyway; predictable.