In the US, that situation is called a "right hook", and it's indeed very dangerous for cyclists. Once you know about it, though, it's pretty easy to ride defensively and avoid it: just refuse to pass on the right of a car that might turn right. Get behind them instead and wait for them to turn (or go straight). In California, at least, a cyclist is legally entitled to take the lane at any intersection where a right turn is allowed.
(In practice, I admit that I don't do this 100% of the time. I never pass to the right of a car with a right turn signal on, but if a car is waiting at a red light without a turn signal, I'll sometimes pass on their right, always stopping well in front of the front of the car, so that I'm confident the driver sees me.)
(In practice, I admit that I don't do this 100% of the time. I never pass to the right of a car with a right turn signal on, but if a car is waiting at a red light without a turn signal, I'll sometimes pass on their right, always stopping well in front of the front of the car, so that I'm confident the driver sees me.)