I think your intent is great. But I do think it would be better to keep the outward response as neutral as possible, so you don't unintentially single someone

I think your intent is great. But I do think it would be better to keep the outward response as neutral as possible, so you don't unintentially single someone out in your attempt to be inclusive. For example, make a conscious decision to say "hold on, I think {so-and-so} had something to add" when you see that situation with anyone, even if they happen to be a white man (because just being a white male doesn't mean they aren't an introvert who can never get a word in a discussion with more assertive pears).