Here's an easy one: "Race is an entirely social construct." No, it's partially one, depending on how any given society seeks to define it and its implications. But there are basic things such as skin color and hair texture. Even a Martian who'd had no exposure to human "social constructs" would be able to spot those differences. But no Martian, as hard as he tried, could point at a "culture" or to "equality." Those are the social constructs. Those can't be measured in the same way as human DNA.
It is true that our skin is sort of more or less the same shade. But is it true that our skin color makes us a distinctive race? No.
That stupid people are more violent is a fact independent of skin color.
I think the notion that we are different just because of skin color, and that we should be kept apart or kept from interbreeding, is very hurtful.
The two most important forms of diversity when it comes to innovation are visible diversity (typically skin color, age, gender, etc.) and underrepresentation (anytime someone is less than 15% of the majority group). Other forms of diversity are also relevant but these are the ones that psychologically play the most role in how someone engages with the innovative process.
A lot of the exercise of embracing identity as a political affirmation is not just simply parked in the question of skin color or culture, but more it is a political affirmation with all these implications and more.