How can we approach leaders to guide them to a solution, that is heart based and conflict resolving?

Be humble. Microcosm is macrocosm. Support them in their journey of decision making, by opening up their hearts and become more humble and calm yourself.

Calmness will bring solutions to big conflicts and injustices. No opinion is an opinion. Be for the persons, who are making important decisions or support.

Work on an energetic level to reach out to people. Work on a visible and invisible level. Combine both. Ask the Universe for support.