You drive at way to high of an rpm for the street.. you could go even faster if you stay in a lower gear and just let your momentum carry you through turns. As far as your "incident",It wasnt that bad, the car straightened itself out for you, you were lucky. You just have to be more careful, being that there are other cars sharing the road with you..
The stock Z is a lot of fun at the track, I did quite a few events when mine was bone stock (just the diff and pads). Its just a lot more fun when its turbo