Doubt it'll happen, Apples pricing is generally very high, and i dont know how they plan on competing with other reputable brands with the prices they offer.. As someone mentioned earlier Apples cinema display starts at $999.. You could easily find a much larger 1080p LCD for less.. And not to mention from quality brands such..
But if Apple can provide competitive pricing with apple tv embedded in the display. And if it also has te ability to play IOS games then it'd be pretty awesome..
You cant compare Apples cinema display with a random "1080p LCD". Yes, it is overpriced, but not as much as one could think. TN panels are very different from ips panels (which Apple uses, made by LG if im not mistaken), both in price and functionality. Anyway, you'd have to compare it with something like the Dell u2711 or whatever the LG monitor that i cant remember the name of is called.
Apple being Apple and Apple consumers being willing to pay extra they could probably succeed. I wouldnt dream of buying one though.