There are three screws holding the "Crazy Cool" plate on, plus two nylon pins. Remove the three screws. You will need to pinch the legs of the pins to get them to release from the plate. Don't take the pins out - they're needed to hold the northbridge cooler on.
The copper back plate also provides plenty of rigidity. Unless you cart this around to LAN parties or have occasion to handle it roughly, mount the thing and be done with it. There is a thread at extremeoverclocking about using the OEM bracket with standoffs if you are so inclined. I asked the same questions that you did when I first encountered the crazy cool plate.