ACORN, the group that seeks to install low-income persons into homes they can't afford and has done lots of work to promote "living wage" laws sued the state of California to try and get an exemption from the minimum wage. They lost.
Via Time:
In 1995, it [ACORN] unsuccessfully sued the state of California, claiming that it should be exempted from minimum wage laws because paying its workers more would require the group to reduce headcount and would make its workers less sympathetic to the poor. (ACORN publicly supports the living wage and has led coalitions to win minimum wage increases in several states.)