It really shouldn't surprise anyone with two brain cells to rub together that the House teabaggers have zero sincere interest in a deal to forestall the sequester. John Boehner (R-no) is on record as having gotten 98% of what he wanted in the original deal, and even allowing for a bit of hyperbole in that number, he knows he's not going to get a better deal, especially now that President Obama has found his spine.
Instead, what Boehner wants to do is shift the blame for the cuts onto Obama and the Democrats. He and his party of mercenary bastards really do believe that perception is reality. Thus the only thing that matters to him in the sequestration fight is to win the battle of perception.
Never mind whether these cuts hurt people. Republicans don't care about anyone who's vulnerable.
Never mind whether these cuts hurt the economy. Republicans have shown for years that the size of the economic pie doesn't matter to them. They in fact support economic inequality as a desirable goal, not merely a side effect of their desire to drown the government in the bathtub. When the economy hurts the middle class (and the forgotten poor), it also hurts the wealthy, but the wealthy recover their losses and attain even greater plutocratic power over the rest of us. And that's what Republicans support.
Never mind whether these cuts hurt the military, even. Since the voters no longer trust Republicans more than Democrats on the military, blame-shifting this is the GOP's way of trying to get that trust back. Obviously, an undeserving way.
Fortunately, Boehner seems to be failing to convince Americans that his lies are true. This must come as a surprise to him, since he and the Republicans have been so often successful at that in the past.
Update (3/1): Yep:
Amid clamoring from his more conservative members, Mr. Boehner eventually reaffirmed his own conservative principles, abandoning even the pretense of reaching a bipartisan solution on the spending cuts. He argued that the president had gotten his desired tax increases in the earlier showdown. And he promised no more one-on-one negotiating sessions meetings with Mr. Obama.