When you take your core self into dialogue you have a better chance to be heard. While some may not want to show any of their religious values in a conflict resolution dialogue, as you will see from the article below, it can be done with sensitivity. At the core we are curious about transcendence even though some of us may not believe in it on the surface, there is a part of our human make up that forces us to contemplate the meaning of life at some level.
"Faith at work is a bona fide social movement. For many employees, faith is a resource for ethical guidance. It can help people find meaning and purpose in their work, or help them 'stay anchored and keep their sanity' in a difficult job situation. People want to bring their whole selves to work, and for many, that includes their faith," David Miller, founding director of the University Faith & Work Initiative, said when he was in his previous role as executive director of Yale University's Center for Faith and Culture.
Knowledge@Wharton: What is your approach to conflict resolution?
Wolf: Every situation is unique; there is no blue print. But there are two worlds that I draw from. The first is the rational school of thought to conflict resolution, which deals with what people's interests are, how to ask questions and craft dialogue around core issues. The other is related to the worlds of transcendence or spiritual transformation. My experience is that there are often moments of transformation in a room and rational models are very bad at thinking about how and why this happens. So in recent years, I have been working with people from different spiritual traditions to learn how they deal with concepts such as anger, conflict and transformation, because they have been thinking about it for a lot longer than the West has.
http://knowledge.wharton.upenn.edu/article.cfm?articleid=2658