It shouldn't interfere with the Eyesight, since that'd be outside of its field of view. Whether it fits behind the mirror depends a lot on how bulky the mount and camera is. I see many dashcams on the road, where the suction mount is so bulky or long that it'd never fit behind the mirror (so people mount it lower, which would annoy me).
If the model you're getting has a stick-on mount, use that. Because suction mounts are often really bulky.
That dashcam you're looking at is just over 10cm wide, so that may just fit.
Less like this:
More like this: