The GOP has two rebranding imperatives, at least: abortion and taxes. They've already done blatantly unconstitutional things to make headlines on abortion, to reinforce their brand image.
As yourself, what are they prepared to do (unconsitutional or otherwise) to get publicity on the issue of fiscal restraint? [Because of abortion, recall that the Defense Authorization Bill didn't make it last year, for something like the first time in the history of the modern America...]
Now, ask yourself whether Geithner and POTUS really understand what they are up against, or, even if they do, whether they have the guts for the constitutional brinkmanship that is coming.
I think the answer is 'no'.
Warren Buffet says this morning that no one knows what will happen in the event the US hits its "authorized" debt limit.
Is that partially a failing of the Treasury? Yes.
Geithner should probably be following the President in a pattern of escalating concern. He should have laid out a week-by-week plan to start shutting down the government, starting with stopping payment on the salaries and benefits of Congress, maybe.
The President should have a legal opinion in hand about his authority and the 'implicit authorization' to borrow, the National Security risk to shutting down the government, perhaps publicly asking, as Ronald Reagan used to do so effectively, for people to call their congressmen to insist on a deal (i.e. to tell them it is 'okay' to raise taxes).
An Executive wins this game. No, it's not a clean 'win'. Is the philosopher king up to the game? The GOP clearly want to test him and his.