You have a rather large flaw in your logic.
The statement that you are quoting is directly supported by the data in my link. Fatality rates in the US are generally an order of magnitude lower than in the rest of the world, because of US regulations. This is a statement of fact, and not an argument for any random regulations that you just thought up.
On your statement about radioactivity, coal plants distribute more radioactive material than nuclear, but nuclear produces more nasty waste per gigawatt than coal. So far nuclear has been astoundingly safe, but the eventual damage from nuclear depends on our ability to safely store that waste for longer than human history.
What really brings it home for me are the warnings to limit seafood consumption for pregnant women, children, and other vulnerable populations due to mercury contamination. About half of that contamination comes from coal power. Coal is so dirty that it has made an entire type of food dangerous to consume!
If this your contention, then you immediately want to stop all coal and oil plants pending regulatory overhaul. Coal plants release 100x more radioactive material than any other source in the world.
And that's not even to mention the operating dangers, from poor work environments to accidents. And that's not even mentioning the environmental disasters. Fossil fuel accidents have routinely devastated entire ecosystems, from Exxon Valdez to Deepwater Horizon.
Nuclear power has the 'airplane safety' problem, people are terrified of air travel despite repeatedly being proven to be the safest form of transportation. The same is true for nuclear power. It is by far and away the safest form of energy generation, with the common myths repeatedly debunked time after time.