I agree with your approach but, as a generally extremely left leaning individual myself, comments solely using "the right" (or any individual group) as the example make it hard to assign to this kind of thought process alone.

Some regular self doubt "what I think are ground truth facts may need to be requisitioned and revalidated and that isn't just true for one specific group to consider" is a core requirement of trying to hold a fact based viewpoint, just as important as any other part of such an approach.