Manifold/header/muffler/tail Pipe problems of the 2004 Nissan 350Z

I purchased a brand new 2004 Nissan 350z on December 20th, 2004. The car had 12 miles on it at the time of purchase, I have been the sole owner of the vehicle. Anyway I just want to report a problem that the manufacture just doesn't want to admit or deal with. Basically I started having idle issue somewhere in the spring of 2005 with roughly 3000 miles on the car. The car would start to develop a rough idle with the ac off. When I first noticed the problem and contacted the Nissan, they tried to tell me its normal as the 350z is their "sports car". Not believe in what they said, I started looking at other 350z and other Nissan that use the same engine for the same issue. It turns out I couldn't find any with the problem, I have had to live with the "sports car" not idling problem since then. When I contacted Nissan about it time after time, they eventually blacklisted me and not return any of my phone call. A complaint with the bbb was no help neither. The problem continued to get worse until November 16th when the car stalled for the first time under the rough idle. The car was running and was sitting at the stop light. After a few seconds of rough idling, the engine just gave out and died on the spot. It refired right after, but it was potentially hazardous as the light turned green right when it stalled. I was lucky not to be crush by the cars behind me on that instance. Since then, the problem pop up from time to time, I would say a total of 10 times in the past three months. Can you please help, the problem is not safe as the car could just die any second. Please call me at 860-2268633 if you have questions. (the car doesn't stall all the time, but the bad idle is definitely there). Also I would like to add the wear on the tires on my 2004 350z. I understand Nissan "supposedly" fix the problem, but my car is still wearing front tires like no others. The tires are feathering quickly and develop vibration on the car at the same time.