The Republicans are never worried about paying for their own programs, but then scream about the mountain of debt whenever Democratic solutions are brought to bear.
The food stamp program isn't a major source driving our debt. Undoubtedly some social programs need reform and modernization, but there is overwhelming support for them across the country. And we are better off if we can change the parts of these programs that don't work, so that we can provide a path from poverty back to economic productivity.
It's not a question of whether we spend money on the poorest in society, it's a question of whether we want to pay through social programming, or pay through economic loss and incarceration. The former offers more success.