Any hope in low speed corners?

[Streetwise guy]

95 Neon, twincam, ground control camber plates, 600 frt 700 rear, Konis, 24mm front 21mm rear bars, Toyo 205/50 15 RA1s. I can beat the Civis Si's I race against, providing I get a decent start and can outdrag them to turn 1. Then, all I have to do is not make any mistakes for 20 minutes. The car progresses from slightly loose to slightly tight on a hot day, 20 minute sprint, and feels very nice, as quick as any of my competitors through third gear corners. Is there any hope of getting a 2650 lb 104" wheelbase Neon to rotate in slow turns like a 2250 lb Civic without making it suicide at high speed? Any and all suggestions welcome, other than building a new car.

Edit: I just looked around a bit- the Eibach rear is 19mm, but looks adjustable. The Addco rear is 7/8"- I think thats the Mopar perf unit I have on the other car.