I don't think you understand what engineers do
Solving equations and applying them to a requirement isn't "critical thinking".
Solving equations and applying them to a requirement? How is that even suppose to work? That's not how scientists or engineers work.
Critical thinking is knowing when and when not to apply those equations where there are no scientific theories to fall back on.
When there are no scientific theories to fall back on? Again, this is not how science or engineering works. It just does not happen that a researcher or a techie would find herself in a scientific-theory-less void with an equation on her hand considering whether to apply it or not. If you find yourself in that position you are not doing STEM.
The study of humanities can provide something called "perspective", which I find lacking in a lot of otherwise intelligent people who happen to be engineers. You can be excellent at engineering and make a product that no one wants to use and have your job shipped off to someone who is equally good at logic and solving equations, but whose education is limited to rote learning of STEM with hilarious results when they are faced with a requirement that necessitates the least bit of critical thinking.
Sorry, but this is just all wrong. First of all - studying humanities will not give you that kind of perspective, as in - understanding what kind of product will be successful. Paul Graham, for instance, studied philosophy and arts before switching to programming and his first big project - online galleries still ended up not being used by anyone.
You see, there are different kind of "perspectives". In humanities, you might learn the "historical", "philosophical", "anthropological", etc. perspective and none of them will help you understand much what products people want to use. That kind of understanding comes with experience in the business.
Second, don't assume people overseas are dumb and incapable of critical thinking. That's really arrogant.
Steve Jobs famously dropped out of college, but dropped in to take things like calligraphy courses. You needed good engineers at Apple to make a product, but you needed good designers and people willing to think... uh... differently about problems to make their product valuable to humans above and beyond their immediate technical capabilities. There are people who will buy an iPhone over a more modern and capable Android device because Apple is actually looking at more than pure engineering in making a device.
So where are all the other tech leaders with humanities degrees giving them the extra advantage? Bill Gates does not have one, nor does Elon Musk. Hewlett and Packard? Page and Brin? Lee Kun-hee? Jeff Bezos? None of them have one. I'm not saying that you can't have a humanities degree in order to be successful, it's just if you care to apply your precious critical thinking on your own statements you'll find that Jobs is kind of an outlier in the top tier of tech innovation.
I like solving problems that have clear answers and applying those answers. However, I derive a whole lot more satisfaction in what I do by being able to put it into the perspective of history and the human condition.
That sounds like hubris. I don't know who you are and what you do in real life but judging by your prose here, you don't seem like a person who needs to have his work put into the perspective of history and the human condition just yet. Don't sweat it - if it's good enough, other people are going to do that for you.