Generalising a bit, it seems to me that in Asia a lot of political leaders come from engineering, whereas in the US and Europe many come from the humanities, especially law.
Margaret Thatcher (somewhat controversial, I know) had a 2nd-class BS Honours in Chemistry from Oxford, and apparently the first UK Prime Minister with a science degree. [source: Wikipedia]
Politically, humanity's physical environment is considered exterior and stable, but the social environment is almost infinitely plastic and easily influenced by persuasion and rhetoric.
So human politics is far more obviously powerful than science.
It's been a good-enough approximation for most of history, even though in practice it's completely wrong.
Politics is badly in need of a Copernican revolution which puts the physical world at the centre of politics, not the periphery.
I wish we were lucky enough to have a leader with a degree. The current Swedish prime minister worked as a welder and dropped out half way to his degree in social work.