Obviously, you have to buy a USB adapter to get that ethernet port otherwise it operates via WiFi. If you would like to control a Wii with an AMX system, you should post the results here, also you should post your reasoning since I cannot seem to find one.
If you want to integrate it in a system for your system or a customer's, just hack open a USB cable, hook it up to the back of the Wii and then plug the Hot and Ground leads to a voltage sensor. Then program your system to run the macro for the Wii in that zone when that port goes high, aka someone turns on the Wii. This is great for kids who are too young to be handling a remote.