With more than 350 rare and vintage motorcycles on display, this western North Carolina facility is widely believed to house the broadest collection of American motorcycles and associated memorabilia anywhere on earth. There are bikes that race, bikes that jump, those that ride walls, and those that climb mountains. And while it is technically called a “museum,” the artifacts here don’t just gather dust. As per its slogan, the “Museum That Runs,” nearly every bike on display—even those a century-old or more—are kept in running condition. The collection is the…