"Let us not seek the Republican answer or the Democratic answer, but the right answer. Let us not seek to fix the blame for the past. Let us accept our own responsibility for the future." – John F. Kennedy
I heard some excerpts the other day from a number of interviews with Jackie Kennedy that were just now released. While this quote came from BrainyQuote.com, Mrs. Kennedy repeated a discussion that she and the President had in regard to cooperation and consensus. President Kennedy apparently once said that the important thing to remember when working with differing points of view was to never get so locked into any idea that you couldn't back off of it later in the interests of the bigger picture.
This is an essential foundation of conflict resolution: acceptance that there are many different approaches to solving problems and realizing that your way is exactly that – YOUR way. To bring others to understanding YOUR way requires that you consider THEIR way as well. Work together, not apart.