HA, no.. no no no 1000 times
These minimum wage jobs are not meant to be careers for people. They are high school or college jobs for people, not end all be all jobs. If you want to work a blue collar job, become an apprentice and work your way up into a trade, whether its a plumber, lineman, welder, etc.
I'm not suggesting a "first class" lifestyle or career. I'm saying that instead, they should be able to support themselves.
You work at a job full time, even the shittiest lowest paying job, it ought to be enough for a safe, but low end, apartment, as well as health care, feeding yourself and your children, etc ....
If you are in a career then you most likely already have a house, or can afford a mortgage, and a decent car, and yes, would like to make more money, but, make enough to live pretty comfortably.
I'm suggesting that people who work shitty dead end jobs should be able to get "a piece of the pie".
People should not live to work. They should instead work to live.
EDIT BELOW HERE
I know I am being an idealist.
I would say feeding "yourself and your children", as in, If somebody has a job/works, they should not require food stamps or special tax credits. They should be able to pay for food and housing and transportation on their own and not rely on government subsidies.
I think the livingwage.mit.edu is a bit high, as I think it is perfectly reasonable to rely on family members, or team up with friends who also have kids (like, they take turns babysitting, or ride sharing, etc).
$8 or whatever the Min Wage is currently is not at all enough. I do not think it should be 300% of what it is. That does not seem resonable.
I'd suggest setting a minimum wage at something around $15 for places with a very high cost of living, and around $10 for places where the cost of living is lower. It won't be a rich life of luxury, but, at anybody who makes that kind of money can get by somewhat comfortably and still have a little bit "left over."