I feel the same way about OP's article. I'm not sure what it's trying to get at. The example it keeps going back to is Nixon getting rid of the draft by using an argument made by an economist to justify it. The author lambasts Nixon for using an economic (i.e. data-based) argument rather than a feelings-based argument ("one that weighed national security, military readiness, and democratic control").
But then later the author rails against how economists are too beholden to their own "bias" and "political" beliefs. So which is it? Are we to utilize evidence to help justify our decisions, or should we base our policy decisions off of our gut? It sounds like the author prefers that we defer our social policy decisions to philosophers, a profession even less beholden to hard evidence to back their conclusions. But bias and political beliefs are simply an extension of personal philosophy, so... you would just end up right back where we started trying to reduce personal preference leaking into hard facts and poisoning the problem-solving process.
It's one thing to say that we shouldn't elevate scientific findings and theories (and in turn their founders) to dogmatic levels. Science is a technique to offer answers to problems; nothing more. The technique and its findings can be incorrect or misused or simply misunderstood, but I don't see how the alternatives proposed are any better. Yes, it would be nice if we (and by extension, our elected officials) could have come to the conclusion about the ill effects of the draft based on an argument like "it's bad to force people to go to war for a cause they might not believe in", but that is an open-ended philosophical question and is why we have a democratic process in the first place. We all get a say in what our values are and how our public policy aligns with those values.
I feel like the author does exactly what he argues against: hand-picks a number of data points (very loose ones in this case), packages them up into some kind of position that backs his worldview that things are not going the way he would prefer, and then uses that to argue a deeper philosophical point rather than just get at the concept that scientific findings can often be abused (maybe because that is a much harder problem to solve than just saying economists suck).
Don't even get me started on the fact that the author refers to economists as "privileged" and infers that they are a social class which "came to enter policymaking and insinuate themselves into the governing class". As if people in the field of economics are just born into this powerful bubble in society and should shut their mouths because they simply got lucky in life; not that many of them worked hard to get in to their current profession.