I think there's two seperate issues here, the systemic racism within the American police force and white privilege in general. The systemic racism is absolutely a problem that shouldn't exist, needs to be addressed and can be fixed.
White privilege is a different kettle of fish. For one is it white privilege or is it majority privilege? Do white people in say Japan or Nigeria enjoy the same levels of privilege as the do in the USA or UK? That's just a general Q and would be intersting to know how societies with other majority populations get on.
Anyway in white majority countries white privilege will always exist because it's beneficial for the majority to ignore it and to change it may mean the majority are a bit worse off.
Think on it like this. Globally speaking people of all races in the West are much more privileged than people in developing countries. Yet we don't do much to change that. Why? Because bringing the developing world up to the developed worlds level would reduce our standard of life and while some people would accept that the majority won't.
Similarly most people on here are probably much more privileged than someone who's homeless. Yet the chances are that they don't donate 10%/20%/50% of their salary or offer to pay more tax to help the situation. Why? Because it's easier to ignore it than to reduce their standard of life in order to help and while some people do help the majority don't.
So going back to the current issue of white privilege in the West, as long as addressing white privilege runs the risk of worsening white lives it won't change, at least while there's white majority anyway.
And that's incredibly depressing, the only hope is that future generations are raised in such a way as to actually accept everyone, everywhere as an equal, but that's just fantasy stuff. The reality is humanity is shit.