I'd rather we take the GS pay system approach to minimum wage. The cost of living in Kansas is waaaay less tan New York City. So we establish a minimum wage and then adjust based on where an employer is.
I'm also partial to guaranteed minimum income and no minimum wage. But it has to be enough for a very minimal lifestyle and no kid perks. Eliminate all the bureaucracy of the safety net programs as well as a good bit of social security's. Throw in socialized healthcare and things might be even better. Employer can't hold much over a lazy employee so they have to pay something reasonable to get people to show up and do stuff.