I'd venture to guess that nearly all LinkedIn users are on Facebook, but I don't think the opposite is true. Along with that the information recorded under both sites overlaps quite a bit. At that point it's just a matter of how and to who you show your information on Facebook. I don't think Facebook is the least bit worried about LinkedIn.
Hours spend doing social networking things on sites other than Facebook cost Facebook money and relevance. Also, plenty of "important" people avoid Facebook like the plague because it's a time sink, so there is plenty of pull in the other direction.