6.) Upon completion, your device should reboot. Copy the root.zip to your device, and then reboot into recovery.
7.) In recovery, flash the root.zip and reboot.
8.) You should now have root in ICS!
DISCLAIMER: The only guarantee I make is that this worked for me. You run the risk of tripping your device's counter, corrupting your device, or bricking your device. If you don't know what you're doing, this is not for you. I accept no responsibility for ANYTHING that might arise as a result of following this guide!