Don't know exactly why, but I'd trust Peggy Noonan well before I'd trust Bill Kristol.
She is a columnist, and many people see her as a political ally. Like Kristol, she cannot be depended on to back the President.
That is her choice, and it isn't really a criticism. Both she and Kristol need to have some critical words for the administration or they become mouthpieces for it and nothing more.
However, I fault both for asking us to accept them as allies, but sticking the knife in when least expected. One can be a columnist OR a comrade-in-arms, but one can't have it both ways.