The IRS does not require you to enter a drivers license or state ID in order to e-file a federal return, so you can skip that screen if you want to. Some states are really picky about entering a driver license or state ID so if your state will not let you e-file, you will need to mail the state return---or go and renew the ID before you try to e-file.
**Disclaimer: Every effort has been made to offer the most correct information possible. The poster disclaims any legal responsibility for the accuracy of the information that is contained in this post.**