or carbs atleast cleaned out and then adjusted, maybe rebuilt but if its running fine i wouldnt mess with it. id say if your bike is honestly cornering that bad its in some horrible need of some type of rebuilding.
first off, check your tire pressure. run around 30 psi in both tires, NOT the max 44psi or whatever it says, and NEVER under 20 (unless stunting, which i doubt you are)
next, try and fully compress your rear shock by putting as much weight on it as you can, and see how it rebounds. no or slow rebound = bad. interestingly enough, i, along with about 20 other bikers from detroit, went to a "suspension clinic" yesterday. you wouldnt believe all the stuff that has to be good for that to work right. if your suspension has never been rebuilt in that bike, i can guarantee that is the biggest problem you have cornering. to be honest, your suspension is probably junk. but a rebuild on them (full valve job and all) will be like 300 for the front and 300 for the rear, so that would be $600 into a bike i dont think is barely worth that (dollar wise, it might be worth it to you just because its your only bike).
suspension setup could be way wrong for your weight too. that could make a big difference. but im guessing its just that your susp. is bad. no big deal, do what you can for now, and then in the future when you have a newer bike, you will be better.
and my first response in this post is pretty sarcastic. its hard to show sarcasm on a computer screen, i guess u just have to know me