1.) Don't give in to their demands
Why are they attacking the website? To close it down. If we do close it down then that will just send a message to them that they can attack any site they want until they get caught, which seems like never.
I know the people who are attacking the websites and through blackmails and urging their friends to try and convince them to stop it seems to be working so far. There is just this one attacker (hopefully) left to contend with.