It does from my own, local observations. There were a lot of rebublican supporters in Pinellas County. Because of this fiasco, there are a lot fewer. By pandering to the preo-life crowd at the expense of other important federal and state jurisdictional issues, the Republicans have miscalculated big time. They thought they were throwing a bone to the pro-life group, but it wasn't big enough. Some people, even here on FR, want state troopers or federal marshals to come in and snatch Terri away. Jeb and George have the authority to do that and if they don't, the pro-life group gets dissappointed. On the other hand, you have other republicans that fear that such an abuse of executive power crosses the line into totalitarianism - the very thing many conservatives hate about big government. If they can snatch Terri, then what will stop a governor or a president from snatching a politican opponent? If this is the true face of the Republicans, many people that helped put them in office will pull them out. If you look at even further, they may have specifically designed the state and federal laws so they would be thrown out or manpulated by the courts so there would be no change in Terri's situation. Create legislation for one part of your base knowing it will get thrown out in court and that satisfies the rest of your base. In this case, I think it's upset both sides of the base.
It's possible, just possible that they were acting with the best of intentions in a situation where they found themselves helpless, and as such, over time their constituents will rally around them at reelection time.
The over-emotional fringe will never sway the staid conservatives that comprise the foundation of the support structure of the Republican Party.