In an intellectually healthy world, of course, the study of “human biodiversity” wouldn’t be imperiled by the reign of Political Correctness. Instead, HBD would be recognized as a necessary complement to the study of human cultural diversity. To a student of the social world, human biodiversity and human cultural diversity ought to be complementary tools, like a straight right and a left jab are to a boxer, or like words and numbers are to a thinker.
In 21st Century America, however, noticing reality is often, by unfortunate necessity, a political act. As George Orwell pointed out, “To see what is in front of one's nose needs a constant struggle”.
So the answer to the title question “Can HBD Trump PC?” is: don’t get your hopes up. A more realistic political goal for HBD is mere survival as a field of study.
In conclusion, is Human Biodiversity a political movement or a field of study?
AAt present, it has to be both. It has to struggle politically to not be exterminated as a subject for intellectual inquiry.
HBD’s goal as a political movement is to someday not have to be a political movement—to help liberate the American mind enough that it will just be an ordinary way to help us understand how the world works.