Right now I would say that I doubt they can live in absolute peace and harmony, because with the Kurdish troops and their agendas, the Iraqi soldiers and their agendas, and the Shia militias and the Sunni groups, a lot of the minorities do not have militias to protect them. They would always be a target, even if we defeated ISIS and other extremist groups. They would always be a target, because they are different, because they are a minority.
However, this green zone I was talking about would be under international protection, not local protection.