This forum is owned and operated by one of our fellow activists so I doubt anything short of a court order will bring down this site.
The first hosting company for BST was angelfire, for free or close to free and at the first sign of trouble they will take down your site to avoid a lawsuit.
I am not sure who the other host was but it seems like they must have gotten legal threats as well since it went down very fast.
No one has heard from the operator of BST so I guess we can wait for her to post here.