They won't. Stock shocks are way too soft for that little suspension travel. Koni's are designed for lowering springs.
Something else to note for those on progressive springs with Koni's ... I'd recommend starting the Koni's off a bit softer to start. Since progressive springs tend to ride softer during daily driving (while you're not getting into the tighter coils), and Koni's can go INTENSELY stiff, you might be setting yourself up for a harsh ride. Koni's are generally 10% or so stiffer than stock shocks at full soft, so in order to keep ride quality in check I'd proceed with caution in cranking up the rebound for a daily. Springs like the Eibach Pro Kit, VWR, and others are generally 10% or so stiffer than stock spring rates, so full soft on the Koni's is a good place to start. Koni recommends the same.
If you're like me and track your car somewhat regularly, and since adjusting the rear shocks is a pain, you can try dialing in some rebound on your rear shocks (I'm up to one full turn - 50% stiff), and leave the fronts at full soft for daily driving. When you get to the track, you can quickly true up the front shocks to 50% stiff and balance out the rebound front to rear. At 50% in the rear, and full soft in the front, the ride is very tolerable but noticeably stiff in the rear. However, it's a compromise for flatter handling at the track where the tighter coils on progressive springs come in to play. 50% stiff in the front was brutal for daily driving with my setup. YMMV