I tend to assume that people with disagreements that fundamental are sufficiently different from me that coordinating on something like this is extremely unlikely in the first place.
Also note that everyone exercises judgment in this regard; even the most self-proclaimed "open-minded" person won't endorse teaching Time Cube in schools. Usually. I hope.
Related: Heuristics for Evaluating the Soundness of the Academic Mainstream, Admitting to Bias, The Ideological Turing Test