Hillary Clinton was on the trot again this week, with an itinerary that took her from Zurich to London to Dublin to Belfast to Moscow and a nonstop schedule of diplomatizing on topics ranging from the normalization of Turkish-Armenian relations to the Iranian nuclear crisis. But the headlines Hillary generated back home—and there were plenty of them—had precious little to do with her official duties as secretary of State.

They were about her disclamation of any interest in a future presidential bid. About her insistence that she really (really!) is Barack Obama’s foreign-policy supremo. About the new Gallup numbers showing that Hillary is now more popular than Obama, which represents a truly stunning nineteen-point swing since the start of the year. About...