Companies that say "we are a family" usually means the company was started up by a family and said family still has some ties to the company in some form or another. It's also a subtle hint that it's one giant clique and unless you fondle the right pair of balls, you ain't getting in. This is mostly common in small office jobs that don't have a bajillion branches all over the place. The only time a new hire will quickly rise to the ranks is if it's a "oh, I know and/or am friends with so-and-so that is related to the family!" situation. Otherwise, you can cross your "T"s and dot your "I"s everyday, but if people don't like you, they are going to make it fairly obvious.
These are the same people that will have MANDATORY company meetings in luxury hotels while they announce giving all the higher-ups promotions and sucking each other off while the commoner plebs are forced to watch it like some sick fetish cult or something.