The easiest way to sum it up is assume that all other drivers are stupid uneducated idiots who doesn't know jack about road rules and courtesy.
Just assume that they are completely stupid and you'll be fine (since you'll be extra careful).
I've experienced what you had, about to exit then someone beams me but i still go through, they have brakes, my car is fast, if they meet an accident, it's their fault.
My only concern is that I'm on the right side of the law. Always insist your rights if you have the time. If we continue to be passive, mediocre minded beings would continue to dominate the streets.