Having worked on nuclear power plants myself, I can attest to the enormously heightened safety standards. Granted, my experience is on military reactors (smaller, but with a greatly increased power density), but I think many of the same principals apply.
I'd be willing to stack up nuclear operating standards against pretty much any other industry... They spent the better part of 2.5 years training me to be a junior operator, and I know that if I wanted to join the civilian nuclear industry, I'd have a minimum of another year of training, plus continuing training.
Right now, the industrialized world is in great need of power supplies that can support the base load requirements. Wind, solar, etc are great, but they can't support the base load as well as coal, oil, or nuclear. Of those three, I'd much rather see more nuclear plants, personally.
That is merely my opinion, however. It seems the great masses of people don't agree, unfortunately.