One of the biggest arguements for raising the minimum wage is that it is not a living wage. We as a nation already support a much higher living wage through the tax system and the earned income credit.
Take for example a married couple with two children under age 17. Assume one parent works earning the minimum wage. Assume the other parent stays home with the kids. While gross earnings for this one minimum wage earner would be $15080 (based on $7.25 per hour, 40 hrs per week, 52 weeks), he or she would be eligible to get a tax "refund" of $7184 (assumes no income tax withheld throughout the year). This number is the total of the earned income credit and the child tax credit.
So a minimum wage earner gets a taxpayer funded bonus of $3.45 an hour, for an effective minimum wage of $10.70 per hour.