Whenever I have to drive an autotragic I always left foot brake. I have never experienced any of those issues and it has not increased my chances of getting rear ended. Just put your left foot on the foot rest when you are not braking and you won't experience any of those problems.
I would say that if done properly, left foot braking is much safer than right foot braking (for automatics of course) due to a quicker reaction time. Instead of lifting off the gas and then moving your right foot over, all you have to do is quickly slam on the brake with the left foot. Getting on the brakes sooner means you come to a stop sooner.
I remember reading an article where a highly respected source tested race car drivers on a track and found the lap times of those who left foot braked to be much better than those who used right foot braking.
Left foot braking will make you a much better driver and the new sensitivity and feel you develop with your left foot will result with much better clutch feel and modulation when you drive a manual.
Definitely keep up with your left foot braking and I highly suggest that everyone at least try and experiment with it.
Two feet for two pedals, makes sense to me. Why have the right foot do everything and do nothing with the left?