Your analogy seems to be comparing the employee/employer relationship to a marriage rather than a family. If the employer is the parents of the family (more power/control/etc.) and the employees are children...
Anyways, using the "we're family" idea in a company is bad because everyone's familial history and experience is different. For some "we're family" means regardless of how abusive the parents are, the children are to always submit, stay, and support them. For some, "we're family" means we don't tolerate laziness and lack of getting chores done and there are consequences for such. In other families that laziness is just tolerated.
If a company wants to "be family" they better make sure everyone has a clear understanding of what that means or dig into the familial history and experience of all hires (I wouldn't recommend this).
The better analogy for a company is "we're a team". People typically have a better understanding of how teams work.