I'd be VERY shocked if you could actually feel any difference on a street car doing that.. People say they can feel it but I've driven them with and without them and until you open the hood, you'd never know it was there.
Now sway bars are something you would notice. A larger rear bar will help take the push out of the front end but can induce lift throttle oversteer on a front drive car, which can be bad news if you aren't ready for it.
What happens... You go into a corner too hot and part way in you figure this out and lift, it unsettles the car and the back end starts to come around. On a rear drive car you can just countersteer and apply some power and continue through the turn. If you do that on a front drive car it doesn't work at all, you have to turn in and apply power and hope it pulls back into shape. It's why they put heavy understeer into front drive cars as most people can't deal with lift throttle oversteer on a front driver. As long as you POWER THROUGH the turn, it works fine and makes for a fast corning car. Just don't go in over your head and lift...