Everyone had different definitions of Peace.  To me, peace does not mean having no conflict.  It means solving your conflicts peacefully.  Conflict is not the opposite of peace.  War is.  Conflict is inevitable, no matter how big or small. And conflict is not necessarily a bad thing.
Every story has to have a conflict.  It would be boring without conflict.  Conflict adds a purpose to your story, a direction.  If you had no conflict, there would be nothing to strive for, nothing to do.  People are interested in other people's problems.
Through conflict, you get connected to the character.  The character grows and learns when they overcome conflict.  That kind of conflict is needed. 
Another kind of necessary conflict is when you bicker with someone, you need to argue to fix your problem.  If you don't you bottle your feelings up, and you don't resolve your problem.