In this matter of Brexit, I've observed that many people don't argue or debate, they fight. Rather than an informative conversation, people are locked in stubborn bickering. I have observed this in other discussions touching on topical subjects, and words like "insipid" and "solipsism" come to mind as I seek to understand why people are so angry. The intolerance is such that you might as well give up on a political discussion. People have their minds made up and that's it. People don't seem to want to compare their feelings as feelings. Feelings are treated like positions, and if they are not my positions, they are ridiculed and dismissed in a flurry of ad hominum invective. People don't want to analyze their own or others' levels of understanding. They don't want to learn why other people have the positions they do. People don't want to understand why others have differing views, they just want to label and condemn. Rather than seeing shades of grey, or cultivating a good sensitivity to irony, things are simply either "correct" or "incorrect." Very tiresome.
Remember the Chinese curse: "May you live in interesting times."