The best value of statistical wizardry is when it works alongside domain experts.
While it's superficially true that this expertise can be used to enshrine unscientific dogmas in the trappings of science, to reject expertise period is to reject the role that knowledge can and must play in forming an understanding of our world. Data do not exist in a vacuum, but are collected in actual experiments, the complexities of which must be understood to gain insight from that data in a way that reflects reality. Not being wary of (or even intentionally misconstruing) how data is collected and represented leads to mistakes like normalizing away trends, then claiming those trends don't exist; this is precisely what Pielke Jr. did, and what Krugman was criticizing.
You are arguing against a straw man. Neither Silver nor Pielke claimed it wasn't.
...to reject expertise period is to reject the role that knowledge can and must play in forming an understanding of our world.
No, rejecting "expertise" is simply rejecting the idea that you must outsource your thinking to others.
This statement from Krugman, to me, flies in the face of scientific thought - "you should be very wary if your analysis runs counter to what a lot of professionals say." Not at all true - the "lot of professionals" should be wary if a scientific study runs counter to their analysis.