I suspect that for non-trivial discussions, turning your arguments into one of these formal models would take more skull sweat than the usual ad hoc methods of identifying where exactly two people disagree. And the people who really need help with this are the people who would take one look at the premise of the worldview manager and laugh contemptuously, then not think about it any more.

I also suspect that the process of actually making one of these formal models would be a good exercise in breaking down your ideas, and could give interesting inights. The model of libertarian ideas is a good example of this.