I think the presumption here, that we need to heal a divided country, is wrong. Leave voters will not be happy with any deal, because it does not give them what they voted for: better public services, higher wages, more sovereignty.
Every election is divisive. If the vote had been what the current polls are suggesting (a 54% Remain victory), would you be writing a column advocating that we leave a little bit to heal divisions? If you enact policies that deliver what many Leavers voted for, things will heal