The obvious fix is to (a) require raw data to be published; (b) require journals to accept papers before the experiment is performed, with the advance paper including a specification of what statistics were selected in advance to be run on the results; (c) raising the standard "significance" level to p<0.0001; and (d) junking all the damned overcomplicated status-seeking impressive nonsense of classical statistics and going to simple understandable Bayesian likelihoods.
Suggestion b is both radical and very thought provoking. Which, at this point, I expect from Yudkowsky.