The debt ceiling issue is a lot more complicated than that and even if it weren't raised the federal government would continue to be able to spend the money it

The debt ceiling issue is a lot more complicated than that and even if it weren't raised the federal government would continue to be able to spend the money it receives from tax revenue. That would be a more severe shutdown (and likely catastrophic to world financial markets). But it would not be a "full" shutdown in the sense that the entire government stops functioning.