I haven't yet played since my failed attempt to collaborate with someone on working out the interface, but I thought I saw an icon tracker that keeps count of your opponents' icons. Would it be easy to train yourself to check the icons? You can compare your own in the same way, right?
If I'm correct about the icon tracker, then perhaps formatting could change based on which dogma you're highlighting. When you hover over an "I demand" then every opponent with fewer icons than you becomes highlighted green. When you hover over "You may" then every opponent that matches or exceeds you becomes highlighted red. Or some such system. It may just be a matter of training ourselves. Visual cues could help with that possibly?
I'm still not all that familiar with the interface, so I hope I'm not talking out my ass here.