Who is pretending that "the government is run by white supremacists"?
If you're referring to my statement, I only said that many law enforcement agencies contain white supremacists, which includes anyone with a white supremacist viewpoint. They don't even need to identify as one openly or even in action. How many white supremacists are and are not anti-government is immaterial to the point.
The way you're using the definition "white supremacist" implicitly assumes that "white supremacy" as an ideology is inherently anti-government. We know that's never been the case, because all white supremacist states around the world have had strictly authoritarian governments. There's no way to enforce the supremacy of one group of people over another without coercive force.
Either violence or authoritarian government are required for a white supremacist state.
As for whether US itself is a white supremacist state, on one hand you could say that it has allocated a massive amount of resources in systematically rounding up black men (1 in 3 will be arrested in their lifetimes) without addressing the factors used to justify that, and many states systematically disenfranchise their vote. And historically it was economically reliant on chattel slavery. Many southern states are effectively authoritarian governments at the state level due to district gerrymandering and black disenfranchisement, now no longer stoppable by the Voting Rights Act after a conservative supreme court decision a few years ago.
OTOH, federally, is democratically accountable to the people, making it a coalition of whites and non-whites. So you could still see white supremacist reactionaries taking anti-government standpoints for as long as this governing coalition includes non-white people.
>It turns out that the people who make those sorts of claims are really just anti-white.
Do you think it is somehow "anti-white" to point out ways in which white supremacy harms and oppresses non-white people when it is used at the level of state and federal governments?