There are many processes available to support seeing the system, buildlng empathy, and rebuilding the spirit of cooperation and compassion. This is just one of them. If there are others that you find inspiring best to ask me. After facilitating for 25 years i am at the point where either I make up or cobble together a string of steps based on the underlying dynamic.
Know ME=
http://www.knowmegame.com/johari_window.html
For the UN decision making process, I suspect a modified version of pecha kucha would be interesting when combined with creative ways of viewing the decision from different world views.