Science, Heal Thyself
The critique is valid. And the suggested method--applying the scientific method to the problems of science--may well be the best option.
However, the rules of science in society have never been scientific. Science has always been deeply embedded in society, but in a variety of ways. One problem is politicization of its governance and organizational framework. Another problem where policy is heading.
As the gap between "truth focus" and "power focus" is widening quickly a dialogue open to reconsidering key interrelations between science and society is urgently needed.
But it is often in the order of things we err. Therefore--in order to replace or adjust the present system--one has to ask, first, what the "guiding vision" for the interrelationship should be. Then, what incentives must be set to work to get there?
Finally, we are back again to considering "philosophical issues" like "what science is for", and, on what fundamental values it should rely. We remain incapable of solving the equation without conducting a prudent reflection in social epistemology.