Not a fan of Krugman, but you are right his academic rigor is unquestionable. (His politics and hyper-Keynesianism, however...)
John Williams isn't even an economist and his "work" is awful. No empirical rigor and has been debunked by real economists from all sides. I think he has notoriety because he appeals to gold bugs and the anti-government crowd, which far too many libertarians succumb too.
People have to get over it: general price inflation is low and has been low. Doesn't mean we won't have general price inflation in the future, and doesn't mean QE isn't risky. But crying wolf will not convince anyone.