Might sting a little bit, but to lift all the dead skin, rub a slice of lemon over your lips, it'll take away the dead skin, and it'll also get rid of that disgusting wind burn feeling. Then, make Blistex (berry's my fave) you new best friend, carry it everywhere and apply it heaps of times throughout the day.
I've got big lips (think angelina jolie-esque lips) and i'm constantly getting windburn and dry and cracked lips)
Lemon will also kill any slight fungal infections on your lips that could be causing your lip problems. Gross sounding i know, but as my doc assures me, completely normal.