Mine does this also and I have no hair. It's definitely a problem with the proximity sensor.
Have you let someone else try using the phone and see if they have an issue with it? Just to see if it's the way you're holding the phone or something of that nature?
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Face-> hair-> phone FAIL
Face-> hair-> inch of space-> phone WIN
So people think its definitely a problem with the proximity sensor? Would it be worth me getting a new droid to see if it works?