Why the system of priority is dangerous

The worst safety feature of the current system of priority is that it multiplies conflict points. What happens when you come to a T-junction at a main road? You have to look both ways and wait for a big enough gap in two traffic streams, one from the right, one from the left. Main road traffic is licensed to ignore side road traffic and pedestrians. The advantage with right-side priority is that at least you only have to worry about traffic coming at you from one side. But best of all is natural first-come first-served priority, or filter-in-turn. With everyone approaching slowly, instead of dangerous conflicts, you get civilised interaction.