I am not an American. In fact I'm an European living and working in Asia right now. I believe I have a pretty broad perspective on a variety of things, so let me explain my choice here.
I believe that it should NOT be increased. US education system is not the best, only a fraction of undergrads find a job after the studies and the rest are forced to get a graduate degree.
Increasing the minimum wage allows the graduates to get a job that can be easily taken away from them by automating the system or in various different ways.
Instead of the increase of minimum wage some things should be fixed first, like the education, and various taxation, as well as legalization of various things that could lead to a bigger income for the economy.