Doubt very much the sway bar will help. One thing that MIGHT is take a good look at your rear shackles and make sure they are not extended, sloppy, etc.
I agree, I had this same problem with mine, I bought new poly graphite bushings, and made heavier shackles out of 3/8 flat stock. I also raised mine about 1 1/2" this helped alot. I still don't run too hard into the corners though.
