Applications for viewing and editing 360° video often render user interface (UI) elements on top of the video. For stereoscopic video, in which the perceived depth varies over the image, the perceived depth of the video can conflict with that of the UI elements, creating discomfort and making it hard to shift focus. To address this problem, we explore two new techniques that adjust the UI rendering based on the video content. The first technique dynamically adjusts the perceived depth of the UI to avoid depth conflict, and the second blurs the video in a halo around the UI. We conduct a user study to assess the effectiveness of these techniques in two stereoscopic VR video tasks: video watching with subtitles, and video search.