Both communities can agree in moral matters, because, among different religions or even with the absent of it, there are universal moral values that rules a society. So, at some point, christians and non-christians know what should be the better behaviour they need to perform to be a successful society.
Yes I think they can, if they are trying to agree on moral matters in "Public Policy" I don't see why religion would have to play a part in the discussion
Generally speaking, reading a series of proverbs has affected people of certain faiths in that it inspires them--often in ways that allow them to lead better or more fulfilling lives.