Anti-sway bar for the Sonata 2002?

I really like my 2002 GLS V6. Bought it with 5000 miles on it, from a dealership, so I got the full warranty. This dealer also offers free tires for life. I've driven Honda Accords since 1981. I figure an Accord in 2002 would have cost me $5000 to $6000 more just to get equivalent features. The Sonata has a softer ride, and, compared to the Accords doesn't corner as flatly. I always feel like I'm oversteering, and have to slow down in a turn. Also, and most annoying, the car really tilts to the outside of the turn. I'm not a maniac, but I would like to have just a bit more control in a turn. Some have suggested that I get low profile tires, and that'll do it. I kind of doubt it. The GLS has 16" rims, and maybe I'm just sitting higher than I'm used to. Still, if anyone can suggest some reasonable way to tighten up the turn, I'd appreciate it.hanks.