It's not just employment education that's needed - it's education in general. In fact, if you read over my posting history in this thread, one of the things I strongly support for families that are food insecure is education about nutrition and food preparation.
As you've helped to point out, however, the cold reality is that there will not be 100% employment in this country (for instance - what happened to all the workers at the factories closed down in your wife's business?) and frankly even if there were the amount of money made at the bottom of the fiscal totem pole in this country doesn't afford a standard of living above the poverty line.
There are jobs in this country that a person can do 40 hours a week, 52 weeks a year, and not be able to afford to be food-secure. That's simply a fact. "Welfare" benefits are many times only facially welfare for the poor - they are substantially welfare for the companies those poor people work for, or for the armed forces (many active duty armed forces members' families are on assistance) so that those entities don't have to pay a living wage. You want to end assistance? I'm willing. When everyone makes a living wage if they work full time, when employment is at 100% or can be, and when there are concessions made for those who cannot work for one reason or another.