I think a lot of the confusion here comes from a conflict between people talking in personal mode and societal modes. As an individual, you absolutely want minimum wage to be temporary, and if you are smart and lucky you can usually make this happen.

You're taking more a societal point of view. At this level, I think you're missing the point of minimum wage. It doesn't provide a family with a living wage; it's just a limit on the monetary abuse that an above board company can dish out, just like we have labor laws that limit other types of abuse (like excessive hours for example). Whether and how our society should be ensuring living wages is kind of another discussion, much more complex. As they currently stand, minimum wages are probably a net good.