To quote your own thought process:
“That's a pretty dangerous game to play. It just strengthens [white supremacists] resolve and blinds you from the genuine understanding of your fellow humans. I think your stance harms society.”
The reason we don’t have “White Pride” or the like is that most of us know where we come from. We weren’t displaced or enslaved, we moved to seek better opportunities. And yes, some European people came to America as prisoners, but not by the majority. Most black peoples cannot say where their ancestors came from, so they are left with “black” as an identifier.
Perhaps, you can investigate your roots and find connections to others over specific identifiers, such as nationality or interests, rather than this catch-all bin of race. Like you said, this position seems harmful and blocks you from empathizing with your fellow human beings and their struggles.
I agree. Which is why white pride and being of your whiteness is counterproductive to your goal of equity.
Part of equity in racial discussions is understanding that white people (myself included) do not suffer the same challenges that people of colour in society, and when we refuse to acknowledge that reality, the backlash can feel like discrimination. It’s important to acknowledge the struggles of others so that we are lifted up collectively, which gets us to that goal of all being “the same”.