he asked about the stabilizer bar not stut tower brace. the stab bar reduces body roll during cornering,if you corner hard with the stabilizer bar unhooked(at the end links)you should notice alot more body lean in the curves. unhooking the stab at the drags is common to aid weight transfer.
Your driving style will determine how much you miss them. If you like to run hard through the corners, then you'll notice immediately. I've had both mine off for quite a while. Took a little while to get used to, but now I can run the same corners just as fast as I could before I took them off.