What pulled us out of the Great Depression was massive government spending which did accrue debt. I don't think it takes much imagination to understand that it would have lessened the Great Depression if it was done earlier.
But more importantly, this is the philosophy that Obama campaigned on and what he implemented. He chose Bernanke for this very reason. Bernanke studied the Great Depression extensively, and his findings were that you had to loosen money up in banks so that credit could flow. You can read more about it here:
Ben Bernanke - Wikipedia, the free encyclopedia
The government supplied money so that the banks would feel safer in lending money.
To claim that Democrats are trying to spend their way out of debt is a massive misrepresentation of what is actually going on. They are trying to prevent a massive depression by running up a debt. We can argue back and forth about how effective that is, but we should at least agree on why we are increasing the debt.
Like I said, do we want to hand our children a Great Depression, or a big debt?