A few points:
- Science is concerned with making accurate predictions about the future
- Predictions range in quality: QFT can predict the gyromagnetic moment of the electron to 12 decimal places, but psychiatrists still have trouble figuring out which medications serve as effective antidepressants (nothing against them — it's a complex subject)
Also, good science is able to find correlations between things, and these correlations allow you to improve your predictions. How much of the variance in a dataset is explained by a given model? In this sense:
- Astrology has almost zero predictivity (I say "almost" because there are extremely weak, but non-zero correlations with the month that someone was born in)
- Myers-Briggs has weak, but non-zero predictivity that is still much higher than that of astrology
- Big Five has weak, but non-zero predictivity that is slightly higher than Myers-Briggs
- The field of psychology has weak, but non-zero predictivity (http://www.nature.com/news/over-half-of-psychology-studies-f...)
- The field of biology has adequate predictivity
- The field of particle physics has extremely high predictivity
See where I'm going with this? The math may be hard, but quantum mechanics is actually pretty easy as far as accurately predicting the future goes. Understanding the human brain is a far more difficult task than making sense of C* algebras.
There's been quite a few studies on Myers-Briggs, and I think it has more value than the Smithsonian article gives it credit for. That said, I think Big Five has much less value than most psychologists give it credit for.
In terms of determining the eigenfactors of personality, something recent like this goes much further than Big Five:
http://ajp.psychiatryonline.org/doi/pdf/10.1176/ajp.161.10.1...