LCD displays use liquid crystals to twist the polarisation of light - that's the very essence of how they work.
http://en.wikipedia.org/wiki/Liquid_crystal_display
I'm not at all surprised if people have problems using polarised sun glasses. I'd be surprised if plane makers didn't warn against using them.
vapilot2004 is also correct. Some of you might remember that when polarised sunglasses were first launched the TV ads made great play of the fact that they stopped the glare/reflection from water/puddles (and other horizontal surfaces). I recall they showed how much better you could see that blond in the pool
I imagine they would indeed cut down on the glint you get off a planes wings.