Morality is basically the application of ethics. The morality of the church is about being Christ-like. Being Christ-like is doing what Jesus Christ will do in a specific situation. Jesus Christ does the right things most of the time.
Therefore, we can conclude that if the church and the state will work to have a better relationship, a more moral society will be its effect since ethics and morality is like bread and butter and the morality by which the church hopefully operates is centered in Christ-likeness wherein members of the church are expected to act like Jesus Christ acted in any situation.