The orientation of ice crystals within large ice masses has a strong influence on their mechanical properties, but cannot be directly observed from the surface. The bulk birefringence of anisotropic ice allows us to infer information about the crystal orientation fabric (COF) from polarized radar measurements. Here, we show a new approach for determining the orientation and strength of horizontal COF anisotropy from the splitting of a single physical layer into two radar reflections by anisotropic ice. We apply this method to data collected as part of a ground-based radar survey of the North East Greenland Ice Stream. We observe a 12-degree clockwise rotation of the fabric at the center of the ice stream, and a tendency towards a flow-aligned COF further southeast. This asymmetry across the ice-stream centerline adds to growing evidence for a more variable ice stream than previously assumed.