I personally am not bothered about income in the slightest, and although I'm incredibly motivated, I would prefer a job that leaves me a healthy work/life balance than a job where I earn twice as much but is stressful and dominates my existence.
I am in a long-term relationship and we don't earn much by TSR expectations as we're both students and part-time workers, but we earn enough to not have to worry about how much we spend.
To me, it would never be about income and so wouldn't be bothered about minimum wage (everyone's been there), but more about what it says about the person. I've known people who have zero ambitions-- live with their parents rent free, play PS3 all day, and have not managed to find ANY job in years. That I'm afraid I couldn't deal with in a relationship. But, if the person is on my level emotionally and intellectually then money earned means very little.