This section of chapter 5 is showing us that we need a Saviour who can deal with our guilt. As he outlines this kingdom ethic, Jesus is actually telling us how he wants us, his saved people, to live. Jesus really does mean that his saved people are to live out a righteousness that will be greater than even the righteousness of the Pharisees. Living out that righteousness will be evidence that we have been forgiven, that we have experienced his grace, and have been filled with his Spirit.
This program is already assigned to that list.