First, what's not true. It's not true that unemployment follows a rising minimum wage.
Now what is. Welfare helped a lot of people, but it had a lot of problems. We need to bring it back.
People who think of poverty and the economy generally like the weather need to snap the frack out of it. The US economy, and in fact the world economy to some degree, has been managed for many years. It's just been managed on behalf of the rich, not most people. Poverty is the inevitable result of the rules of the game. Who is and is not poor depends on how you play, sure, but also what hand you're dealt, how the dice roll, what the other players do to you or for you, and so on. But the rules were made by humans and can be changed by humans. In fact, they are changed all the time, sometimes for the better, sometimes not so much.
Even Adam Smith - I know, who died and made him god? - said there would have to be balances to shield people from the worst effects. Personally, I think we've learned a lot since then. We just don't act like it sometimes.