I have my fingers crossed, but I probably shouldn't. My heart is saying "They'll pick you! You have a very oddball video card that they'll need to test". My brain is saying "You idiot, they'll never pick you! You don't have a WoW account, so you don't deserve it."
If public games bugs are fixed then closed beta shouldn't be too far away.
Looking at the bugs seems like the game is more or less ready (just some minor detail) while connections/servers is (as expected) the real deal right now.
Closed beta will stress the infrastracture even more (AH in primis) and will also allow Blizzard to try out many different kinds of hardware, which should let them refine the game even more and define system requirements.