On a windy Monday night, Pete’s Candy Store—a bar in Williamsburg with a railcar-shaped performance space in the back—is crammed to capacity with the thin and the bearded. Almost no one is drinking. The mood is pregame, expectant and nervous. We’re at one of the oddest New York City powwows in recent memory: a panel designed to quell a metastasizing dispute between bicyclists and Hasidic Jews. Except no Hasids are present. For a moment, it looks like the bicyclists will have to debate themselves. At immediate issue is the Bedford Avenue bike lane. It’s the longest in Brooklyn and runs...