Nuclear require an extreme accident to become a hazard to human life, while coal/NG kills every day.
Uranium mining is hazardous to the miners and local/regional residents because of the radioactivity they are exposed to, uses large quantities of water to reduce airborne uranium dust, and uses a lot of fossil fuel to separate the uranium from the gangue and to transport it to the consuming power plants. Therefore, nuclear also kills every day. It just doesn't usually happen in the country using the nuclear fuel, so it's effectively Somebody Else's Problem, but a problem nonetheless. Nuclear power is NOT carbon neutral by a long shot, much less environmentally neutral.