Yes absolutely Tesla needs this, not only to record while driving, but while parked. I've been advocating for the company to offer a Security Package option in the Design Studio.
I figure it would include four cameras: front, left, right, rear, with four separate, synchronized, time-stamped, GPS-encoded, recordings of the four cameras. Should have motion sensors all around the car, that can trigger recording and/or send notification to owner via phone app, texting, etc. Should have full integration with 17" screen as an "app" with settings, as well as some integration into the iPhone/Android official Tesla apps for viewing and notification.