Like emjaycee said... I don't know how this will work with cases. Except for super slim cases, most cases come over the edges of the phone a bit. I could also see a lot of accidental contact/interaction with the screen, just by the nature of holding a phone and your skin touching the edges.
Plus in addition to this, no bezel at all just looks kinda ugly IMO. I'm all for thinner bezels, but please don't do away with them completely.