Steven Gray just said at the Participatory Modeling Field School 2019 (paraphrased) — EMBRACE THE DIVERSITY. Plot out the separate conflicting models and show the diversity of knowledge and ways of thinking. Then think about the cultural agreement regarding the topic. It could spark important conversations that could move decision making forward.
Isn’t it going to depend upon the nature of the conflict? Are we really talking about entirely conflicting models, or maybe the conflict is about a few variables, or processes, or parameters? Maybe the differences are not that dramatically serious, and you could simply run some sensitivity tests to see how far the differences will take us.