Video broken on TheAtlantic.com

Video on TheAtlantic.com (which uses BrightCove as a video hosting provider) fails to load when the HTTPS Everywhere plugin is enabled.

For a sample, visit this video with the plugin enabled / disabled: http://www.theatlantic.com/video/index/372645/what-an-action-hero-does-on-his-day-off/

(Tested on Chrome 35 for Mac OS X)

Trac:
Username: joshmaker