James Dean at the wheel
There is no way our political system can solve the budget crisis. If they hold fast with the debt ceiling the Democrats can make it cause maximum pain to Americans so that by the 2024 election it will help them and then they will blame the depression that is coming on Republicans refusing to raise the debt limit.
In addition to that what the Republicans will want to do is get a few cuts to the budget so they can pretend they did something and then they will be bought off to raise the debt limit.
They all know that this is unsustatinable, but for many of them the immediate issue is getting reelected in 2024. The Republicans will be peeled off, RINOs and a few who get bought off with some pork in the bill. Maybe you can find 10 or 20 Congressmen and women who will hold the line, but not enough to actually keep the debt limit from being raised.