I would strongly suggest that documents like birth certificates not be presented to TSA employees (and especially SSN cards).
You can still transit the checkpoint if your drivers license is expired beyond 12 months; they will ask you a series of questions to compare with publicly accessible databases (I imagine similar to confirming your identity over the phone when having your online password reset with a financial institution). Allow for some extra time, but anecdotal evidence suggests this can be a simple process.
Note that this should not be done if you actually do have have suitable ID such as a passport card, DL, or other listed on the TSA site. (I state this just for general info, not that I think this is the OP's intention).