I took apart a monitor once before (when I made my performa plus monitor fishtank), an did not discharge it. I would like to say for anybody elses case, I personally would recommend wearing thick leather gloves when doing so. I don't know if it will do aything, but trying to be safe isn't a bad thing.
Mobile-2.2Ghtz Core 2 Macbook, 4GB ram, 160GB HDD
Server-Dual 1.42 MDD G4, 1GB ram, 4 random hard drives.
PC-C2D 2.4Ghtz, Asus Commando, 2Gb ram, 3 hdd's in raid 5, 8800GTS.