Have been getting the same 'timed out' message while trying to log in. Can log into the EU servers just fine. Problem persisted after closing and restarting, rebooting and restarting - nothing was helping. Tried verifying game files, was told had to download 506 - essentially was forced to re-download the entire game, and install.
And after all that? SAME ISSUE!!
oh. And can still log into and play in EU, just fine.
NA - time out.