Summing up the Church’s approach, and Pope John’s personal one, to ending the arms race and promoting peace:
117. We therefore consider it Our duty as the vicar on earth of Jesus Christ—the Saviour of the world, the Author of peace—and as interpreter of the most ardent wishes of the whole human family, in the fatherly love We bear all (humankind), to beg and beseech (humankind), and above all the rulers of States, to be unsparing of their labor and efforts to ensure that human affairs follow a rational and dignified course.
118. In their deliberations together, let (people) of outstanding wisdom and influence give serious thought to the problem of achieving a more human adjustment of relations between States throughout the world. It must be an adjustment that is based on mutual trust, sincerity in negotiation, and the faithful fulfilment of obligations assumed. Every aspect of the problem must be examined, so that eventually there may emerge some point of agreement from which to initiate treaties which are sincere, lasting, and beneficial in their effects.
119. We, for Our part, will pray unceasingly that God may bless these labors by His divine assistance, and make them fruitful.