I see three different things happening here, somewhat on a continuum.
Peaceful Protesting - what the majority are currently doing. Large gatherings or marches so proclaim a message. Problem is, this is easy to ignore, gloss over, or say, oh that's nice.
Rioting - protesting where things get a little more physical. There may be violence by cops against protesters and visa versa. Collateral damage to buildings or cars. Often causes more people to seriously take notice and historically has been required for major change to occur (see Civil Rights era and the civil rights act that came only after rioting.
Looting - a crime of opportunity when the above rioting is taking place. It isn't an action looking for change or the greater good, just a self serving action. It has no place in all of this and is taking away from the overall message.
Unfortunately, it seems that rioting and looting is being instigated by all parties involved - white supremacists who want to distract from the cause, people of color and whites seeing the opportunity to get "stuff", police who are tipping protests into violence by using unnecessary force against peaceful participants.