Separate issue. I actually agree with increasing it, but the exact level really needs to be locale-dependent. A federal min wage that's appropriate for NYC, DC, LA, and SFO will be detrimental to people in KY, WV, WY, etc.

An increase in min wage will permanently eliminate some jobs, at some point people will just make their own coffee, mow their own grass, etc. Many min-wage jobs involve services which are are discretionary, not essential, and price-point drives business volume in a big way.

So you have to find the sweet spot where the net benefit to society outweighs the cost of the inevitable lost jobs. That equation varies by location, which means a federal min wage is probably over-kill, unless set to the LCD.

Also... it's a fallacy that you need to be able to raise a family of four as single mom on min wage. There are people who don't need or want a full-time professional career (students, seniors, non-primary breadwinners, etc), but rather some supplemental income. A high min wage basically bans a lot of those kinds of jobs.