what size tyres do you run?
My friend races his integra at club events and I asked him about this situation, he runs 225/50/15 tyres in front and runs 205/50/15 in the rears, his inside rear will tends to lift in a corner on turn in, and with the thinner rear tyres he over ame the big rear end grip you described, and he kept the tight springs (which i forgot about...)
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