Re: A nuisance, an imposition but not the end of the world
The thing is, if you have a Facebook account, and tell them you don't, you may be fine. Unless they find out that you actually do have a Facebook account, and told them you didn't. At that point, you are in deep carp for lying to them, which is itself a serious crime. So it's quite risky.
Re changing your passwords, sure, but that will only protect any new content you make after leaving the airport. Forensic software can quickly download everything on your account within minutes of you givine the password.
Personally, if I had to travel to the USA, I would be concerned... I have a Facebook account, but I only made it because a game required it for online backups, so it has literally no content. Same for Twitter, I only made that account because there was one feed I wanted to follow years ago. That has to be mighty suspicious.