The people protesting have been exceeding clear about what they are arguing for precisely. Holding police accountable is not some fringe political opinion and in fact the right, according to its own professed beliefs, should be natural allies in this movement. The further this continues the more evidence we have that these concerns about police in the United States acting with impunity are legitimate.
What is clear however, is that a significant portion of the people who have claimed themselves champions of freedom and states' rights always held the caveat that it be in the service of a particular group of people. It is interesting how people who in every other circumstance hold individual liberty as central to their beliefs now place law and order at the center of their arguments at the expense of individual liberty. Where in the Constitution are our rights subject to conditions on behavior? Fucking nowhere. The second amendment itself grants the people the right to violence against a tyrannical government so why then would "not destroying statues" in any way be considered some kind of pre-requisite for legitimite protest?