This is from a few days ago, but it does challenge one piece of the narrative. Apparently both sides were issued permits (countering what many have said that only the WN group was).
There was a legal challenge to moving the monument protest, mainly because the park the protest had been permitted for contained the statue of General Lee in question. That challenge prevailed. The park the city tried to shuffle them to did not contain any of the monuments in question and was described as having ingress/egress problems with chokepoints which made it an undesirable venue.
The city could have moved the other group, but did not, or simply not issued that permit until another day. A significant amount of the blame for that conflict lies with the City, imho.