Most Republicans are more or less willing to compromise, but they want an actual compromise.
No they really don't. When the democratic party adopts Republican ideas, they immediately become the subject of downright insane attacks. The reason why people are so pissed at the republicans right now is that they have abandoned every principle they had simply to reject compromise:
Libya: Intervening to protect civilians is totally unacceptable when a democrat does it. Never mind that we are still engaged in multiple wars that republicans started for that exact purpose. But hey, no surprise, we saw the same damn thing in Yugoslavia.
Obamacare: Mandating people buy insurance is completely unconstitutional when democrats propose it! Never mind that it was an idea first proposed by 19 republican senators and the republican presidential candidate at the time (Bob Dole).
Stimulus: Never, ever, ever works and is just a big handout to special interests. That must be why Bush included stimulus in both his 2001 and 2003 budgets and why our republican appointed president of the Fed is begging us to pass more stimulus.
One can not stress enough that republicans in congress are completely devoid of any principle that they will not happily discard in a moment if it helps them achieve their only actual goal which is to make democrats look bad enough for them to return to power. Absolutely nothing else matters to them in the least.
That being said, the compromise that Obama is offering them is generous. They are being given some of the spending cuts they want and in return they don't sabotage the economy. Most people think they should agree to do that for nothing. Democrats have never threatened to sabotage the economy if they don't get what they want.
On the "nut" front, the only difference between the two parties right now seems to be that the Republican's have a good deal more of them in positions of greater power - it's no great revelation that the Democrats keep most of their "wingnuts" at arm's length, (even if, in some cases, the "wingnut" position is a perfectly reasonable one).
Quite true. It's a tragic irony of American politics that voting against our disastrous invasion of Iraq ruined many a bright politicians career but not one single war supporter has been held to blame.