Well, my 2 cp's - this seemed to be going in a noir direction, Johann (I thought) pretty clearly just drew his gun to keep the other team from running off or attacking us - they seemed very threatening, but Johann and Jasper didn't shoot for at least 12 seconds. I figured we'd get into a casablanca/maltese falcon dialogue scene with drawn guns and stuff - I was very surprised they attacked when two people (Jasper and Johann) had guns drawn on them. That was pretty foolhardy of them - and frankly, we came off much worse than we should have. IMO, this isn't D&D, where a drawn sword=combat.
As an aside, it might have been helpful if the BBEG would have said something along the lines of "We seem to have a bit of a dilemma - we both want xxx, we both have guns, and we both would like to live to see the morning sun. Perhaps we can make an arrangement?"
The problem is it's difficult as PC's to know the stakes in these sorts of encounters. I have no idea if these are people who are going to shoot first, ask questions later, or not. As NPC's, I know they're in the same position - but as GM, you can metagame quite a bit more than we poor piddling no-nothing players can. It's kind of up the NPC's to initiate the conversation in this situation.
Personally, it's CoC - we're supposed to die a lot. I'm sure we can get this back on track.