im pretty sure, and almost positive, that won't work. that allows the laptop to connect to a wireless router. it doesn't act as a wireless router (unless its an added feature that i didn't see). So no, you won't be able to connect your wii to your laptop and then to the internet.
"Allows your desktop or laptop PC to connect to your network wirelessly"
I can gurantee that it won't do what you want it to do. That connects to a wireless network. it doesn't create a wireless network. for that you need a wifi enabled router.