If you want to understand the nonconformist culture of Southwest Airlines, you’ve got to start with its holiest site: the shrine to Herb. Walk into the company’s headquarters, located in a five-story gray building next to the Love Field airport in Dallas, go past the front desk, and proceed down a broad hallway until you get to a horseshoe-shaped employee lounge with a soaring atrium. There you’ll find a museum of sorts honoring Southwest’s Wild Turkey–swilling, Marlboro-smoking co-founder and former CEO, Herb Kelleher. In one towering poster on the wall he’s shown hamming it up in a sequined Elvis costume; in another he’s arm wrestling an aviation rival for charity. Push a red button and you can hear a recording of three versions of Kelleher’s famous laugh—the guffaw, the chortle, and the roaring belly buster. On the walls there are embossed plaques with a selection of his favorite sayings, none more emblematic than this gem: “If you rest on your laurels, you’ll get a thorn in your butt.” ... The company is in the process of reworking or jettisoning altogether much of Kelleher’s tried-and-true strategy—with plans to fly in a totally new strategic direction. In fact, after years of consistently outsmarting and outperforming the traditional carriers, Southwest is today remaking itself to operate more like them. ... The goal? To attract more of the most lucrative customers: high-fare-paying business travelers flying long distances.