Most likely, neither far end of the spectrum will be participating in any "healing".
They have either lost the temperament for it, or they never had it.
The rest of us will simply have to work around them.
The following quote fits well with your premise and I agree as well:
"The middle of the road is all of the usable surface. The extremes, right and left, are in the gutters.” D. D. Eisenhower
The problem, of course, is that the ends of the spectrum are the loudest and angriest, and feel the most aggrieved.
So they get most of the attention and have most of the influence.
To further add fuel to the fire is MSM's political agenda to keep the populace as dumbed-down as possible. Some of them who work for the mega media corporate heads truly believe that their job description is to tell the viewers what to think about their news reports. Real journalists would never do this nor even consider it.
Even elementary teachers know that telling their students what to think isn't part of their job. Good teachers provide the tools to help develop young minds, but that does not involve keeping them dependent by telling them what to think.
In general, people who need to be told what to think are truly a sorry lot if they have an IQ high enough to figure things out but are just too lazy to do so. This is a stark contrast to a person who has an intellectual disability (IQ below 70 by most standards) and deserve all of the assistance they can get.