While it is true you can have a thinner notebook and extended battery life with an LED backlit display, there are significant problems too.
First, in order to get the extended battery life you must use white LEDs because the colored LEDs are on average only about 1/3 as efficient. White LEDs provide far inferior color reproduction, yet are the most common backlights in cell phones and small portables.
The second problem with an LED backlit display is it does not have as long a life as a fluorescent backlit display. LEDs can have long life, but the low cost electronics supporting them do not. LED backlights on portables can have life as short as 5,000 hrs, while flourescent backlights may be 10X longer.
Most people may never log 5,000 hrs of use on their lap top during the life of the laptop, but I think they will be very annoyed at the poor color. The color can be improved by using different phosphors on the white LED, but the efficiency is worse, and battery life gets worse. Most people seem to want greater battery life over good color.