Unhealthy ESEs tend to behave in the manner you have stated OP. There are only two ways of dealing with it, one of which like concrete butterfly stated is to use

in an assertive manner in stating that their point is valuable, but so is yours so you don't submit to their rhetoric, but you're not making them submit to your point of view either. You tell them that you understand their point of view and that they are correct, but that they must also look at it from the other perspective as well to fully understand the issue as there are always two sides in every issue.
This might work in getting them to understand the issue beyond their limited perspective of them being completely right and the other person being completely wrong. However, this doesn't always work and in the case they are being angry at you and trying to draw you in for an argument, you just tell them that you're not interested in an argument (without being rude) and just leave the room. It is cold and you have to be calm when you do this and they will get very angry at you in the moment, but I find they'll either drop it or approach you calmly later on about it most of the time.