Just a note, if you are seeing the Diablo 3 Servers are Full Message, "You Are Entering the Queue", it means that the servers are actually down for maintenance. They go down every tuesday for 8 hours.
Here is a blue post about it:
We will be performing scheduled maintenance on Tuesday, May 29th. Maintenance will begin at 3:00 AM PDT and conclude at approximately 11:00 AM PDT. During this time, servers and many web services will be unavailable.
Thank you for your patience.