From:
http://www.xbox.com/en-US/support/co...connection.htm
The Xbox 360 console supports only the Xbox 360 Wireless Networking Adapter and Xbox Live Compatible wireless-to-Ethernet bridges, routers, and gateways bearing the Xbox Live Compatible logo.
So, no. If you were taking your laptop, then probably. But the Mogul won't work as a wireless network adapter. The only one that will work is the Xbox branded one. Unless you're thinking of a completely different way of connecting the Mogul to the Xbox?