To answer your question:
As a US national, you may not be denied entry to your country. Period.
The passport serves as uncontroverted evidence that you are a citizen. Your entry may be delayed and may be unpleasant, but you will be admitted.
I would bring with me clear color copies of the relevant pages of your passport book and card as well as your DL. The photo match and CBP's ability to look up the passport and see that it is you should suffice.
Nobody can tell you how long it will take as it is dependent on how busy things are. Plan on an extra 3-4 hours and be pleasantly surprised if it takes 10 minutes.