Do the plan on tapping my phone lines? Should I forward all my email to them? What about my postal mail? Should I bring them a list of books I'm reading?

I would actually just respond back with it is against Facebook's legal terms of usage to provide my username/password or let anyone other than myself access my Facebook page:

Section 4 Para 8 "You will not share your password, (or in the case of developers, your secret key), let anyone else access your account, or do anything else that might jeopardize the security of your account."

They can have their legal people fight it out with Facebook's legal team. Talk about a huge red flag. Maybe if I was desperate, would I still take a job there, but I'd immediately begin looking for a new one.