In addition to democracy, peace is another priority for the Western Hemisphere:
542. Peace is a precious but precarious good that we must all care for, educate toward, and promote in our continent. As we know peace, is not reduced to the absence of war and the exclusion of nuclear weapons from our common space—significant achievements in themselves— but it entails generating a “culture of peace” which flows from sustainable and fair development that respect creation (“development is the new name of peace” said Paul VI), thereby enabling us to confront together the assaults of drug trafficking and consumption, terrorism, and the many types of violence prevailing today in our society.
So, it’s not a matter of international peace, but also peace and good order within nations. The Church makes its own contribution through liturgy and catechesis:
The Church, sacrament of reconciliation and peace, wants the disciples and missionaries of Christ, wherever they are, to be “builders of peace” among the peoples and nations of our continent. The Church is called to be continually a school of truth and justice, and of forgiveness and reconciliation for building genuine peace.
For deeper examination, check an English translation of the 2007 document from the Aparecida Conference.