Reports now say that the Dems are surrendering on the self-executing rule; they'll have a straight vote on the Senate bill.
I'm generally reluctant to generalize about differences between the parties, but I guess I'll ask for a similar example from the era in which the Republicans were in charge. Essentially, the Democrats thought of a clever procedural dodge, the other side attacked it, and then Democrats and liberal activists basically failed to go along with the Democratic leadership. As I read the blogs, pretty much all liberal blogs (and, for what its worth, the political scientists who weighed in) pointed out that the Republicans were being massively hypocritical, and that there was nothing really improper or certainly illegal about the maneuver, but that it was (at least) bad politics. And, as a result, the leadership withdrew the idea. For a summary of blogger views, and the best case for the self-executing rule gambit I've seen, see Andrew Sprung.
Now, the first part -- one party decides to use a clever procedure, the other party attacks -- that happens on both sides, and as far as I can tell more or less equally. But I can't think of an example from 1995-2006 in which Fox News or conservative talk show hosts criticized Tom DeLay or Trent Lott or whoever over a procedural matter. As far as I remember, any time the Democrats complained about procedure, conservatives immediately took sides with their team. Am I forgetting something? Conservative readers -- let me know if I'm wrong here.
Furthermore, I think it's almost certainly true that if Tom DeLay were faced with this situation, he would never have backed down. He certainly would not back down because editorial boards or David Broder or Mann and Ornstein thought his procedures were a bad idea. On the other hand, Tom DeLay is currently appearing on reality TV shows, while Nancy Pelosi is Speaker of the House. In other words, it's not clear that bullying through no matter what is always a winning strategy, and having supporters who are willing to call you on it when you make a bad choice, instead of instinctively rallying around, has some advantages.