Agreed that emotions and intuitions are often enough why we take certain positions.
On the other hand I try to keep in mind there is a tendency for us to default to such explanations. In a dispute, it's very common for us to attribute our own position to reason, and the other guy's to psychology. After all, we know we reached our conclusion through careful reasoning, you've given the reasons to the other person, you've corrected their errors, and yet they persist in being blatantly wrong. Since my position is the reasonable one, the easy explanation is that emotion or some psychological story must be driving the other guy's conclusions.
As I mentioned before, having been in plenty of debates with intelligent people, where both sides come to feel like it's trying to reason with a brick wall, it's led me to try and reflect on those dynamics. I don't believe that pure emotion explains it all, but that there is something in the process of reasoning itself that produces those dynamics.
If you try to carefully think a position through, it's like going down a rabbit hole of your own making. You consider various options and reject them, consider various critiques and reject them, accept that proposition and move down to the next one. And then the next and the next as you reason your way to a conclusion. It's somewhat like going down a rabbit hole, picking your path among the the branching tunnels of choice, and closing the door behind you (rejecting those other positions) as you go down. And all this is greased with the psychological benefit of how it feels good each time you think you've grasped a truth and have understood the world.
It's no wonder it may be hard to reason yourself out of a position, or be reasoned out of it, given the nature of reasoning. I don't think it's JUST emotion in place of reason that can explain the dynamic where someone can seem recalcitrant in the face of "a better argument," but it derives from the nature of how we reason as well.
So if someone seems to me to believe something unreasonable, and it feels like I've "corrected" that person, or that person should know better if only they thought about it, and a smart person WOULD think this through, then I try to resist the temptation of concluding it's just emotion-based...it can also simply be the result of reasoning. They've just reasoned to a different conclusion.