Calling attention to divisions may reinforce the behavior -- like telling children only what not to do.
By removing that reinforcement the behavior would be extinguished.
Of course that assumes we can trust everyone to do the right thing...not a great assumption, I'll admit.
Then again, I am not great at inter-personal psychology which is probably a big part of why I got into tech to begin with.
It would assume that, in general, people are going to do the right thing and those that don't will bear the brunt of society's punishment for that behavior if they show they are willing to violate the enlightened norm -- be it criminal prosecution or negative social consequences or all of the above. And that bad behavior will be drawn in that much more stark relief because everyone will be acting under the assumption that everyone else will do the right thing.