I think I'm definitely a "Blair Democrat". I'm not sure who coined this phrase, but Thomas Friedman of the NY Times used it in his column on 1/22/2004 - War of Ideas, Part 5.

**"It was a good night for the [Tony] Blair Democrats in Iowa," said Will Marshall, president of the Progressive Policy Institute. By "Blair Democrats," Mr. Marshall was referring to those Democrats who voted for the Iraq war, and conveyed "a toughness and resolve to face down America's enemies," but who believe the Bush team has mismanaged the project. **