Peace does not just 'happen'. It is built over a long period of time, over generations. Afterall, it took generations for our conflict to develop, so it will take generations for it to evolve into consensus, which is the opposite of conflict.
Many people still believe that political leaders make peace.
Perhaps we should blame historians for that since 'history' tends to be written around the activities of big leaders. However, in reality peace-building is not hierarchical, with leaders negotiating agreements and handing them down for the masses to slavishly follow. Peace-building is an organic phenomenon, going on at all levels of society, with myriad activities complementing each other. Reconciliation should not be confused with reconcilement. Reconciliation is a difficult and arduous journey which has reconcilement as its ultimate destination, the place of harmony.