After being woken up by the front desk letting us know our taxi had arrived (good thing they called because our alarm was accidentally set to am instead of pm), we headed back out into the city for the airport -- it was much less busy traffic-wise, but there were still people selling things to passersby.
Since we already had our boarding passes, getting through the airport at 12:30am was pretty easy. We boarded our flight bound for LAX at 1:30 and took off. Whew! We're on our way home!