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.
As a longtime minister and close student of the history and current status of the abortion issue in America, I can find no instances where these senators have pondered what they would do if they were a woman and legislators ordered them to have medical tests which their doctors said were unnecessary.