Pattern analysis is an incredibly poor predictor of individual human behaviour. Infamously poor. That, topically enough, is the entire reason why bigotry of all descriptions is foolish.
Almost any sentence that begins "X group of people are..." is wrong. But if you add in, "the subconscious motivations of X group of people are..." you'll be wrong close to 100% of the time. Your confidence can be as absolute as you like. It's faulty, arrogant, and almost guaranteed to be wrong. Absolute confidence is nothing more than a sign that you haven't thought through your position from enough angles.
I didn't accuse you of saying "everything", though yes, I guess it was hyperbole. But in my defence, a far from exhaustive list of things recently labelled white supremacy includes, climate anxiety, skiing, knitting, Jews, hiking, classical music, and being on time, I feel like I have a point.
If you think the presence of a badge magically turns a murder motivated by any of the thousands of possible reasons people murder each other into a murder that is definitely motivated by white supremacy, I'm not sure what to tell you. I'm not even going to debate it. This is just a very obviously very bad argument.