In the absence of the desire and willingness to (a) forgive, (b) sacrifice some, (c) put our own personal agendas aside, (d) give some credit to the one across the table, (e) resolve the conflict in a 'win-win' situation for both sides, it is almost impossible to expect peace.
All of us need to understand that 'I am right' is NOT always right. We are all wrong sometimes and it is ok. If we were right all the time, we would be equal to God.
Sometimes, we are convinced that we are right but that doesn't mean that everybody else in the world must follow us. We are right for our reality and other's may think differently based on their reality. Reality here might include their world view, culture and other external influences.
The most important factor in a crisis or a conflict situation is how do we work together to ensure a better future for the relationship and for those who are affected by this conflict while both sides continue to live with dignity and security.