score:2
In the TSA Screening process, you will be asked for valid picture ID to ensure it matches your ticket. If you don't have a picture ID, you will be turned back. If you present a fake ID, you will be turned back (if not arrested).
The question is whether or not the photocopy of the passport will suffice. There, the one thing I can say with certainty is that the guy who checks your ID will be the one to make the call. He might get it right, He might get it wrong, but if you don't pass him, you don't pass.
Personally, I doubt he'd take the copy - especially since I see them examining my documents for authenticity all the time. You can't do that with a photocopy, and if I were the guy, I wouldn't deviate from the routine. If you're lucky, he might ask his boss, but all in all, your only real option is to get real documentation fast.