I'd just like to point out that the LCD screen on the gamepad isn't fused to the digitizer like it says above. It is actually attached with an adhesive strip that can be removed easily with a spudger.
My gamepad was dropped and the LCD screen shattered, but the digitizer was fine. So, I was able to order a new LCD screen (from eBay), tear down the gamepad, separate the broken LCD from the digitizer, reattach the new screen to the digitizer (using the existing adhesive strips) and it works like brand new.
Nintendo has done a great job making this gamepad easily repairable.