Before taking office, each member of Congress swears a simple, straightforward oath. It leaves little room for misinterpretation. They vow to support and defend the Constitution of the United States and to "faithfully discharge the duties of the office." High among those duties is paying the government's bills.
What the Republicans are attempting to do is both un-Constitutional and a violation of their own sworn promise -- an oath sworn on the Bible they claim to revere. Their consciences must decide whether their behavior is un-Godly, but the Constitution they swore to uphold makes it pretty plain that it's un-American.