Some people are like that, where if you respond to their snark, your response will be used against you to tarnish your reputation in the eyes of bystanders.
It is important to never let them get the moral high ground.
If someone says something like...
* "Your team is all white."
* "Your team is all male."
* "Your team is all American."
* "Your team is all able-bodied."
A better way to respond would be something like, "That's true. We're always looking for new talent and embrace diversity, just haven't had much luck yet. <hiring page URL here> if anyone's interested."
It addresses the problem, and contains an open invitation for people of diverse backgrounds to apply.
(All of this is assuming you're willing to work with people who aren't white, aren't male, aren't American, and/or aren't able-bodied, of course.)
Okay?
I really don't have any interest in where this conversation seems to be going.
If you're dealing with a troll, doing what I said will disarm 99% of their tactics. If you don't like that, take it up with the trolls.
If you, rather, have a problem with diversity itself, then let's end this discussion here.
EDIT:
> You're taking part in making sure they have the "right" beliefs about business structure and hiring practices, and it's all the more insidious because you claim you're not.
Okay, this is clearly not a discussion worth having.
100% agreed.