Belief is categorically not rooted in reality. That's why it's called belief and not fact.
Humans are intrinsically irrational. That is a plain and simple fact. Humans operate exclusively on what they think is true instead of what is objective fact. Subjectively an individual human acts in ways that are roughly rational and coherent within their belief system and world view. The problem is that this frame of reference is entirely subjective and is only tangentially related to consensus objective reality. Assuming that you can apply your own reasoning and logic to all other humans is fallacy.
You must accept the fact that other people do not share your world view and will not act with what you, personally deem to be rationality.
> Humans are intrinsically irrational
Yes
> That is a plain and simple fact
No
You've not examined the cognitive resources required to properly locate "fact" when humans have other interests, like staying alive and providing for their families. The mechanism seems to encourage directional stances rather than comprehensive ones.
* I wave some sort of unreal RFC 2119 wand at you *
Also, pure rationality is sort of an empty idea - without goals or preferences, it's not really possible to reason your way into deciding an action - just understanding the various likely consequencies of various courses of action. Without that hunger in your belly, your reason has nothing to recommend.