This comment is totally uninformed and completely wrong.
Econometrics is the study of making inferences about economic models from data. Making inferences from data is fundamental to everything economists have done for a long time. Econometricians are essentially applied statisticians. Indeed, I can think of many econometricians I personally know who have joint appointments in university statistics departments. Your claim that they are "hidden in business schools" is completely incorrect.
Econometricians are unlikely to have made predictions about NAFTA. You provide no source for your claim that they did. Nor are they likely to have advocated against Glass-Steagall. You provide no evidence for this claim either.
If you think econometricians have no training in science or math, you are also totally and completely wrong. (Again: do you think so many econometricians would have joint appointments _in statistics departments_ if that were true?)
I would also invite you to visit any seminar in a prominent university economics department in the United States, not just the econometrics seminar. Outside of pure game theory, every seminar series in every department is thoroughly empirical: what is the data, how are the parameters in the model identified, etc.
Or go talk to the economists who work at any of the large tech firms! Facebook, Google, and Amazon all have economics groups. Amazon's is to my knowledge the largest. They hire many econometricians every year and have consulting relationships with many of the leading academic econometricians. Would they put so much money into "one of the most discredited branches of academics that exists"? No, they would not.
You don't have the slightest idea what you are talking about.