In my opinion, having driven tons of high performance cars, the GN/T-type is one poor handling high speed car.
I have yet to drive one with stock suspension on it that didn't feel exactly how you are describing.
I have a 37,000 mile WE4, it was all over the place at anything over 85 mph on hard acceleration. After buying the car, rebuilding the engine, trans and body of the car I was super disapointed in the handling.
I installed a set of Eiback Pro springs and Koni shocks all the way around. I had also installed a set of airbags in the car. I had to run them around 3 psi in both to keep the 10" wide BFG drag radials from scraping. This helped with the rear sway the car had some. The car was still super loose in the rear.
I bought HR Parts n Stuff complete rear suspension kit at the National last year. Over the winter I installed it all.
I had the car out a few weeks ago on our first nice of day of year here in Ohio. The airbags are now completely flat in the car (no air in them)
The difference in the car is night and day. It no longer rubs the tires in bad spots in the road, even without any air. The handling at high speeds is what I would consider good now. The car has NO sway in the rear at all. The cornering is now super tight, it doesn't feel like any other GN/T-type I have driven.
The quality of the parts were top notch. The sway bar design is like what you find on a real drag car, it no longer just attaches to just the control arms, it ties into the upper frame of the car.
I noticed after a hard launch on the car I hit about 130 mph. The car was super stable and no longer scary feeling. I slowed down and was just cruising, when I looked at the speedo I was still doing 90 mph on a not so good road. The car has never been stable like this.
As a side note the parts I took off the car were in perfect conditions. All the bushings and such were still fairly pliable as they were when new, nothing worn or sloppy.
The suspension kit, wasn't cheap, I don't remember what I paid for it. It is also not "cheap" when you get it. Super high quality, everything was nicely gloss black powder coated, high end urathane bushings in all of it, nice stuff.
Might want to consider this for yourself you are really tired of the cars handling.
David Buschur
racer, car builder/owner.