No to password, no to access. Of course, I don't even have a facebook account so I'd probably not be believed on that and not hired anyway.
Aren't you old as hell? They'd probably believe you.
VRWCAgent is 5 years younger than I am, and I have a Facebook account. Of course all they'd find is a picture of my cat (the one I've used here as an avatar; it's my avatar there, too), numerous invitations and updates from friends on stupid games I never joined, the occasional "hello" to/from people, and a conversation with someone over why my cat has an obsession with licking plastic shopping bags (apparently one of the things they're made of is cornstarch). Other than miscellaneous "did you see that movie" questions and a few odd posts here and there about stuff that means absolutely nothing except to the person who sent it... well, that's all people would find. Unless somebody has posted something incredibly weird or awful since I deliberately used Ad Block Plus to prevent
myself from accessing it (you can do that if you block images of things like log in buttons)... since I hate IE, I'm almost never tempted to respond to the occasional notification I get that "so-and-so has written on your wall."
The last time I friended somebody was when an old high school friend found me there. I accepted the invitation out of courtesy, but we've never interacted there. If he wants to chat, he can damn well email me directly.
"Thank you for this opportunity but I think we're finished here." get up and walk out.
I wonder how many interviewers might then say (before the walking out part), "Good. That was a test, and you passed. We would never hire anybody so willing to break confidentiality rules."
I did it once before, when working for a govt agency that required a low level security clearance, and under very specific circumstances, I would do it again (and by do it, I mean show the account, not give the password, something I'd never ever ever do).
If you did it on one of their computers, they'd have the password anyway - unless before leaving the keyboard, you deleted all trace of your having accessed your account, including erasing any records made by keylogging software.
If anybody wants to see my relevant social media, I'd point them to my Cheezburger account. You don't need my password to see all the lols I've made or faved.
Honestly, has nobody in government ever considered FACEBOOK'S position on this? The rules state that they'll cooperate if ordered to by a court because of a criminal investigation of the user, but never for any other reason. Are all job applicants now to be classified as criminals?