Well, looks like DICE and EA underestimated their server load. This is on the official site:
“I can’t join” – We underestimated the number of people that wanted to join the Beta at once. We are also having some load balancing issues which is limiting the overall capacity. We are working full time on opening up more servers, please bare with us."
Source
Yea. No shit. So I guess the fact they ran out of beta keys within a few hours didn't clue them
in that they might take a server hit. Real smart.
Good thing my sleep cycle is all wacky, I'll probably just wait to play late tonight.