I am going to give some examples and while they are not 100% percent verifiable, let' just roll with this and see what you think.
1. Presently my girlfriend is 30 years old and lives with her parents and has a child. She is making more than minimum wage, but can't afford to move out. Drives a hatchback that is more than ten years old. She has an iPhone, but she purchased it because it was free with a contract. This is a story that I can find several times over with various people I know that are making more than minimum wage.
2. If I remember correctly, SNAP doesn't allow for fast food. This might not apply, but in a great many cases, fast food joints are unable to participate in these programs.
3. Most of the people I know have jobs and fall under this category called the, "Working Poor." They work a full time job, but require government assistance because they are still below the poverty level. Please backup your claims though, because now I am curious where you are getting your facts from.
The lower income families spend more money because that's what they do. They are the majority of your consumers. Give them money to get by and we can actually start to cut aid to them. If we don't have to spend as many tax dollars for welfare programs, then we can start to lower taxes. You have a choice. Either take care of the poor by having them work for their income, or provide their income from taxes.
Australia currently has the highest minimum wage, but their unemployment rate is two tenths of a percent higher than ours. Up until very recently they maintained a lower unemployment rate than ours.
Thanks Obama?