I see this is an old post but I have been looking around for help on the topic. Looks like if you can solder you can fix it. I also read about Mylar tape working wonders for a couple people.
Found the actual part on eBay for the digitizer flaps ....
http://www.ebay.com/itm/iPad-1-FPC-Digitizer-Connector-part-plus-Desodering-Alloy-and-Repair-Instruction-/120904807008?pt=US_Tablet_Accessories&hash=item1c267cf260