Assuming this is to swing toward the mirror side (which is the only thing that makes sense to me), I'd start by using extra heavy duty ball bearing strap hinges for the hinges. The straps have to be heated and bent roughly into the shape of a question mark to allow for the mirror clearing the wall when the door is opened, so the heavy straps are really needed to keep from having a lot of wiggle in the installation, and the door needs to open easily to use any of the push type latches.
The mirror is going to wind up flat to the wall, so you can't push on the edge of the mirror to actuate the release, you actually have to flex the mirror by pushing maybe 6 inches in from the edge. This flexing determines where you cannot put glue (assuming you glue it). I recommend using a thin, "unbreakable" mirror.
No, Katz' method won't actually result in a fully concealed outswing door, it's more of a neat, convenient gizmo.