In politics it is perception that is of up most importance. In this regard the Republicans are in big trouble.
And the GOP's non-compromise is also hurting them.
Who's to blame?
Republicans in Congress receive more of the blame for the shutdown: 44 percent of Americans blame them, while 35 percent put more blame on President Obama and the Democrats in Congress. These views are virtually the same as they were last week before the shutdown, when Americans were asked who they would blame if a shutdown occurred.
http://www.cbsnews.com/8301-250_162-57605822/poll-americans-not-happy-about-shutdown-more-blame-gop/
And the GOP's non-compromise is also hurting them.
Most Americans want compromise. Majorities think the President and the Democrats in Congress (76 percent) and the Republicans in Congress (78 percent) should compromise in order to come to an agreement on the budget.
http://www.cbsnews.com/8301-250_162-57605822/poll-americans-not-happy-about-shutdown-more-blame-gop/