The FFXIV PS3 beta started today and so a ton of people were downloading FFXIV, and they had D/C issues too, at least during the registration/user agreements/download/etc. portion. I don't know if anyone was thrown out of the game after finally getting in, though.

The forums for both games are experiencing issues as well. SE's servers are on hyperdrive and I'm not a tech geek, but I don't know if there's anything they can do about it other than wait for it to pass or to literally lock out users selectively.