There are a number of ways of finding administrators. We could draw from the field of conflict resolution and dispute mediation. For instance we could offer training and give tests for skills that have been proven to resolve conflicts. There is a whole field of conflict resolution, which already has standards of training for good moderators.
For specific arguments, we could give slightly more weight to opinions by “certifiable experts” in that field. For each person who asserts they are an expert we could have an algorithm to determine how many extra points we would give their vote. I propose the following equation and list of definitions: