One way I have seen it done is to search for anything on which we agree. To be that peacemaker, you need to have the simple faith that as children of God, with all our differences, it is likely that in a strong position we take, there will be elements of truth. The great peacemaker, the restorer of unity, is the one who finds a way to help people see the truth they share. That truth they share is always greater and more important to them than their differences. You can help yourself and others to see that common ground if you ask for help from God and then act. He will answer your prayer to help restore peace, as He has mine.
That same principle applies as we build unity with people who are from vastly different backgrounds. The children of God have more in common than they have differences. And even the differences can be seen as an opportunity. God will help us see a difference in someone else not as a source of irritation but as a contribution. The Lord can help you see and value what another person brings which you lack. More than once the Lord has helped me see His kindness in giving me association with someone whose difference from me was just the help I needed. That has been the Lord’s way of adding something I lacked to serve Him better.
Henry B. Eyring, Our Hearts Knit as One, General Conference, November 2008
[Those] who learn well together always seem to me to have great peacemakers among them….It is the gift to help people find common ground when others are seeing differences. It is the peacemaker’s gift to help people see that what someone else said was a contribution rather than a correction.
Henry B. Eyring, “Learning in the Priesthood,” General Conference, April 2011