One approach I've been working with is sharing models rather than arguments. For example, nbouscal and I recently debated the relative importance of money for effective altruism. It turned out that our disagreement came down to a difference in our models of self-improvement: he believes that personal growth mostly comes from individual work and learning, while I believe that it mostly comes from working with people who have skills you don't have.

Any approach that started with detailed arguments would have been incredibly inefficient, because it would have taken much longer to find the source of our disagreement. Starting with a high-level approach that described our basic models made it much easier for us to hone in on arguments that we hadn't thought about before and make better updates.