It is possible. Probably not optimized but technically possible. You just need special glasses that blink both eyes at same time and something which combines 2 signals in to 1 with alternating frames. Then you can watch a porno while your wife watches Martha Stewart on the same TV, and she won't suspect a thing. Unless she takes her glasses off... :)
Plasmas and DLP displays really are the only ones that stand a chance making this work without ghosting. LCDs just can't keep up due to pixel refresh rate latency.
So I should be able to get the Sony glasses that they advertised at E3 with the TV then, since those blink both at the same time. They claimed they would work with many other models. I wonder if something like this could be implemented with a firmware update or something.