What is your first-hand experience with the "Dunning–Kruger effect"?

In the field of psychology, the Dunning–Kruger effect is a cognitive bias in which people of low ability have illusory superiority and mistakenly assess their cognitive ability as greater than it is. The cognitive bias of illusory superiority comes from the inability of low-ability people to recognize their lack of ability. Without the self-awareness of metacognition, low-ability people cannot objectively evaluate their competence or incompetence. (Wikipedia)

Some of my fellow programmers seem to think the world turns around their knowledge as if there was no valid reasoning whatsoever beyond math and computer science. They seem to think logic (a tool with multiple uses which exists since at least 380 BC) is merely an attribute of computer science. It's not uncommon for them to think they can understand the intricacies of every phenomenon under the sun.

I have to control myself to avoid countering each of their flawed arguments. To my own detriment, I'm not always able to do so. I feel surrounded by arrogance and cognitive bias, and have to silence my better judgment in order to avoid constant conflict.

To be clear, I'm not looking for advice, as I already know the "solution", which is no solution. You can't use reason to fight something that is not motivated by reason. I'm posting to know your stories and maybe find some solace in the knowledge that I'm not alone.

Have you ever had to deal directly with people who grossly inflate their own competence, possibly stretching it to an unrelated field? if so, what's your story?