That’s what scares me. As far as I know Japan is pretty good at running infrastructure. If even they can’t get it right what will happen if we push nuclear as solution to climate change and less well run countries get a lot of nuclear plants? It’s pretty much guaranteed that some will blow up.

Exactly. The official explanation after Chernobyl was in substance "the powerplant was of a dubtious design and the operators were dumb and not disciplined". Fukushima is designed by Western corps (GE), built by US and Japanese serious megacorps, and operated by Japanese knowledgeable, very disciplined and service-oriented (rather than vodka-oriented) people.

Yes, but the original location of site would not be approved today, precisely because of the risk that actualised in the tsunami (even though it is an extremely rare an unlikely occurrence - a tsunami which caused large-scale devastation where the nuclear plant's problems were just a minor issue compared to the huge loss of life and material damage from tsunami itself).

Indeed, however it doesn't change much the logical conclusion drawn by many: the risk is not adequately managed, not sufficiently "under control", there are configurations leading to a disaster (dangerous material escaping, especially on a large scale). Even if such disasters are relatively rare (given the reactor.year activity), they periodically happen and many think that any new one may be even more catastrophic. Add to this that many, in the public, now know that not a single insurer or re-insurer accepts to cover nuclear risk.

As for the impact on health we will only be able to assess it when the last dangerous waste dispersed by the Fukushima disaster will be innocuous, the last induced-cancer known...