It is generally a wrong notion that your Facebook profile is a personal account. Remember, nowadays, lot of recruiters look into your Facebook profile. They look into the following points:
The type of posts you share
The type of language you use in your posts
The grammatical errors (if you make) in the sentences
The type of remarks that you pass
The kind of friends that you have
The kind of social awareness that you possess
All these make a kind of a persona which reflects to the recruiter. They take a lot of consideration and parameters before recruiting the manpower. As you will be teaching the next generation, the institutes reflect into the type of source they would consider. Facebook account is important as your posts, messages, remarks and comments everything makes a difference. The recruiter observes them minutely before they make a decision.
Hence, it is not only your interview that matter, it is your complete personality which would make the difference.