The thing is, the removal of the minimum wage doesn't suddenly make people not on poverty. It makes MORE people on more intense and higher levels of poverty. People on minimum wage already collect welfare. Eliminating the minimum wage would just make it so that they would need more.
So if they get their wish and have people not only working for next to nothing, but remove welfare as well, we suddenly have people barely able to put food on the table. We'd have good old fashioned ghettos with 20 people living to one apartment, a rise in crime and disease, and something more akin to a third world country than America the great.