In fact, looking at many of these public transit vs. car threads on HN, on the topic of safety, I feel transit advocates are not understanding the issue properly.
Most people that dislike using public transit in the US are not afraid that the train or bus will derail or get into an accident. The odds of that happening are definitely tiny.
What they're afraid of is some psycho on the train/bus committing anything from nuisance harassment to outright murder.
It doesn't help that many of the people that most advocate public transit are the ones most resistant to making transit free from being terrorized by such potentially dangerous individuals.
Even outside of that psycho scenario, you also encounter a lot of benign, but otherwise annoying or otherwise less-than-desirable-to-be-around people whether it's someone with horrific body odor or someone blasting loud music or someone coughing their lungs up.
I never felt afraid, anxious, or even annoyed in any way getting on the subway in Seoul, Tokyo, or Hong Kong.
I always feel at least some degree anxiety and annoyance, and sometimes outright fear, getting on the subway in NYC.