think about this, if the issue is indeed with the LCD screen then we should be seeing millions upon millions with increased inability to sleep due to the move from CRT TV's to LCD flat panel's. Those put out far more 6500k light than a reader panel, granted it is from a greater distance and thus suffers from the inverse-square law for light fall-off but that does not color shift the light.
What you can try is looking for an app like F.lux:
http://stereopsis.com/flux/
That app can sync your LCD's color from full-spectrum to night/warmer as the sun sets. In theory for those who have sleep issues it could help. I have long had insomnia probs from stress/anxiety and have installed it on my laptops. No idea if it works but know it does ease the strain on the eyes when the lights are off at night.