You cannot blame other people for not giving you everything you want. And it is a fraud to blame them when you refuse to use the money they did vote, even when it is ample to pay for everything else in the government.
When Barack Obama keeps claiming that it is some new outrage for those who control the money to try to change government policy by granting or withholding money, that is simply a bald-faced lie. You can check the history of other examples of "legislation by appropriation" as it used to be called.
Whether legislation by appropriation is a good idea or a bad idea is a matter of opinion. But whether it is both legal and not unprecedented is a matter of fact.
Perhaps the biggest of the big lies is that the government will not be able to pay what it owes on the national debt, creating a danger of default. Tax money keeps coming into the Treasury during the shutdown, and it vastly exceeds the interest that has to be paid on the national debt.
Even if the debt ceiling is not lifted, that only means that government is not allowed to run up new debt. But that does not mean that it is unable to pay the interest on existing debt.
None of this is rocket science. But unless the Republicans get their side of the story out -- and articulation has never been their strong suit -- the lies will win. More important, the whole country will lose.