Camera arrived midday, battery at 75%, why hang around. Default settings looked OK, my only adjustment, 25p.
To prove a hunch, an Olympus F2 12mm and Lumix F2.8 12-35mm electric lens would function on BMCC MFT.
Lens settings are loaded with a Lumix GH1. Mount lens on GH1 focus to infinity, iris to F8/11. Hold down camera lens release button with camera powered up, remove lens. You will notice the iris is tiny @ F8/11. Mount lens on BMCC Fine tune exposure with ND Vari Fader of choice.
The 12mm lens @ infinity & F8/11 will yeild acceptable focus from perhaps 6ft - infinity. Should be ideal for quick action out doors.
A rough old test to prove a point. Cheers.