Stipulate that no one can be interrupted while speaking. Choose an appropriate time to deal with the conflict, preferably after people have had a chance to calm down and look at facts more objectively. Focus on issues rather than personalities. Be as specific as possible in describing the problem to be solved. Differentiate between reality and perception.
People have a tendency to see what they want to see.
Periodically remind one another of what you have in common and of the interests you share. Focus on these potential bridges more than on your differences. Don't seek a premature resolution - better to move more slowly and cautiously toward a solution that will stand the test of time. Invite a neutral party to listen, counsel, and play a peacekeeping role. Pray with and for one another as a reminder that in the final analysis, we're all on God's side.