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JSube - I don't know much about the STI as a driver, or how your 350 performed, and I've only been a rider in an S2000, but... my gut says you may find yourself happy in this car. It DOES respond well to some simple mods, both performance and handling. It's a lot of fun stock, but really wakes up with a little more spring, a little more camber up front than you can get out of bolts and a header/tune (especially a catless header with a high-flow cat in the front-pipe, and even moreso if you can do E85)
Mine weighs in at 2800 with me in it (and ~1/4 tank) after some work (I'm STX prepped for AutoX) and oversteer and understeer are my fault every time... but I've corrected understeer with throttle, so it's a pretty good balance I think. Power is fun, but the handling and feedback is addictive for me.
If you're up for a used car, the worst that I see happening is you find it's not quite what you wanted after all, and you trade it in for a Porsche in a year or two. Probably no different even if you jump into a new BRZ, really.