The Can-Am Spyder’s oddball three-wheeled configuration polarized die-hard motorcyclists when it was launched in 2007. It was the brainchild of Bombardier Recreational Products (BRP)—the Canadian conglomerate responsible for the Ski-Doo snowmobile and the Sea-Doo personal watercraft—making the curious trike an appropriately disruptive force within the traditionalist motorcycling community.

For 2015, BRP has introduced the $19,500 Can-Am Spyder F3, which adds a performance-focused edge to the lineup. The Spy…