You are not going a good sense of an average base voter from reading the NYTimes
The types of people that write for the NY Times tend to believe that all women, gays, blacks, whites, hispanics, etc. feel a strong sense of solidarity with all other members of their specific demographic. It's the kind of delusion that only a liberal columnist could buy into these days.
As a radical centrist™ who's terrified of things like universal healthcare and affordable education, the NYT is on your side, not mine. But yes, you are quite correct that they often misjudge the opinions of minorities, since most of their writers went to prep school in Connecticut and now live on the Upper West Side with rent help from daddy to get the "NYC experience." They certainly have not spent much time in East New York or Hunts Point, which are part of the city allegedly in their purview.