This run went very smooth for me. The only things I could do to save time are faster inputs (especially switching trade from science and gold). Faster inputs would save me over 10 seconds (unsure how much more), but I'm very happy to get sub 6.

Side note, I'm sorry for the crappy quality of the audio. I couldn't find an app to record Civ Rev 2 audio (as I guess the game doesn't allow certain apps to record audio from the game). I had to use my phone's mic instead to capture game audio.