You don't want to use a stock clutch with any single mass flywheel. The stock clutch is a rigid hub meant to be used with a dual mass flywheel. If you switch to a lightweight single mass flywheel then you should utilize a sprung hub clutch. Either the clutch or the flywheel needs to be "sprung".
The "ZHP" flywheel is not lightweight. It's the same ~ 25lb dual mass used in all other e46 6-spds. It is, however, about 5 lbs lighter than the 5-spd e46 flywheel. The aftermarket LW flywheels are typically in the 8.5 - 11lb range. If you do some searching around the forums, you will find that most people also seem to report some level of transmission gear rattle when using a LW flywheel.
If you're set on going LW, cancel your clutch kit order and start over. The JB Racing + Clutchmasters FX100 combo is frequently recommended as are the UUC offerings.
04 IR 330i ZHP | ESS TS2+ SC | MagnaFlow "headers" | KMS 3.64 LSD | AST 4100 550/650| APEX ARC-8 18x9 | H&R front sway bar | Vorshlag camber plates, RTAB limiters | TMS subframe & swaybar reinforcements | UUC SSK & DSSR | UUC TM & TME | BW motor mounts | Dinan strut & shock tower bars | vaio 4-bolt oil pump