It's not a clear divide between right and left, and NYT, the Atlantic, and NPR stans right wing voices constantly, have constantly used their editorialization to promote right wing ideals, and have gone out of their way to center right wing voices to give the appearance of being centrist to the right, which has had a direct impact in their perception as not really left wing by any of the left.

Now the center right is supporting concentration camps like "alligator alcatraz" so the overton window has shifted a lot in the last ten years.