I'm starting to think of it a bit like the fire triangle (here comes the science bit – lol!). For fire you need Fuel, Oxygen and Heat. Take one or more of these away and fire can't exist. Take some of the sources of conflict away then you prevent the "fire" of the argument.
I have noticed a difference now I have a bell on my bike. A good ding ding does carry very well, and you've immediately taken away the "where's your bell" riposte. Most walkers upon hearing you have a bell will take it that you do have respect for your fellow bridleway user and want to get along. It shows you are prepared for other users and don't see the bridleway as your personal Afan/Seven stanes/Fort William downhill course.
There's also something untheatening about the sound of bell on a bicycle.
It can evoke up images of vicars on bikes in english villages on a sunday afternoon. I'll stop before I get over flowery, but you know what I mean. Before the bell you appear as an angry speed obsessed lycra lout that doesn't care about anyone else expect the clock. After the bell you're a considerate fellow trail user. Back up the bell with a cheery hello or "Can we squeeze past?" and you're pretty much there.
Yes, there will always be exceptions, but we can do a lot to stop the sparks becoming flames…
2p deployed
TM