Those vast resources that you mention (police and military) are at the very core of the conflict. Their use of force has only exacerbated the problem, because people spread videos of unjustifiable abuses (three cops brutalizing one prostrate individual in LA, a cop hitting protestors with his vehicle in NYC, a brigade of cops shooting law-abiding people on their own porch in Minneapolis, etc) that in turn draw more protestors to the fore.
Your A/B scenario is precisely the problem -- you equate the soothing of public anger with "capitulation" rather than "justice," and you make violence an imperative by arguing that the only strong approach is the brutal one.
Not to mention that you express a view that police brutality can "end the source of the problem." What is the source of the problem, if not police brutality itself? Were Americans violating curfews to demonstrate in the streets of major cities immediately prior to the murder of George Floyd?