Tim Ferriss writes an interesting article about flying without ID. Just before a flight, his wallet was stolen, but he was still able to make it on board through online check-in, putting as much as possible in checked bags, and submitting to a physical search of his person and carry-ons. He actually made it through quicker than if he had had to stand in line.
This is good information to know as it could happen to anyone. Take a look.
How to Fly Without ID and Skip Lines