Fair point. White supremacy is an attitude, whereas white privilege a state of being. I would quibble that white supremacist ideas are quite widespread - see, e.g., references to "thugs" during the BLM protests.
I also agree that white privilege interacts with class, culture and historical consequences, this was well put.
If, hypothetically, an economic system admits little class mobility, and if classes are racially biased, then the effect of that economic system is to maintain a racial caste system. What are your thoughts on this? I'd also point that the justice system works similarly. There are few explicit racial biases, but what is the effect of this system? It actively maintains a racial hierarchy. Does that make it racist?