There was never any such "war" and it makes so little sense that it's a clear fabrication.

The non-left (majority of the country) do not attack each other over "purity" as Marxist factions do. As the "normal" within their hate-o-sphere though I can see why they might think that's how the world works. It doesn't.

So where are the concrete blocks hurled down upon law enforcement? Where are the riots and looting? The burning cars? Vehicles driven into crowds of children? The doxing and threats of retribution?

There aren't any. Because that sort of action is a hallmark of the left. It isn't the sort of thing normal people do.