Conflicts exist because we were not created to be clones of one another. We’re unique, with no two alike. Even twins have differences. It would be difficult for even a non-believer to dispute that. Below is the Biblical verse that discusses this and below that is a link to a great piece that expounds upon this. Unresolved conflict boils and festers when those involved in the dispute are more focused on being right and getting their way, than to collaborate and devise an equitable solution that works for everyone.

Psalm 139:14 (NIV)
I praise you because I am fearfully and wonderfully made; your works are wonderful, I know that full well.