Gordon1979, I am a conservative Republican and I can see where you are coming from. I sometimes think that the Republicans should give the Democrats all the tax rate hikes they want, just to prove it won't solve anything. The problem is that Republicans are the party of limited government and low taxes (or at least they should be), and none of them were elected to OK a tax hike. So if they give in, they will feel like they are not doing their job.
It could be that they will be perceived as obstructionist (which in reality that is exactly what they are supposed to do here - if that means standing on their principles) and if their constituents don't like what they are doing then we will of course get voted out.