Well if you set your back spacing on your rims so that the outside of the tires is = to where the outside of your current tires are you aren't going to be any more tippy.
My reason for wanting the narrow tires was for clearance. I hit the frame when turning and stuffed with my tires, with these I will gain 3" or so. Plus the smaller contact patch is much much easier on all the turning components, ram, box, shafts, etc.