I just disconnected my rear sway bar (both sides) and while it was on the lift, I did not get anymore droop, but it did snug more (into the wheel well). When I took it out for a little spin, I noticed very little body roll. When I tested the flex on a trail, I did get better traction on the offset rollers.

In short: I recommend disconnecting the rear sway bars. My roommate, who is the shop manager at Moab 4x4 Outpost does not recommend disconnecting the front. I don't know why exactly, but I didn't feel like he meant it would be dangerous.