Not at all, we look into Fukushima and Chernobyl as examples of what actual happens when things don't go as the advocates sell it.
And naturally the radio waste is fine as long as we store it into other countries.
Fukushima hit hard in (West) Germany: Chernobyl was mostly explained away with "because Soviet", it wasn't that hard to convince people that much safer nuclear was possible. But Japan, of all countries, not being able to safely run a reactor? The country of trains running on time and of Toyotas making domestic cars look laughably unreliable in ADAC statistics?
There’s not actually that much high level waste… thing the UK has a couple swimming pools worth after 50 years of operating reactors
In the last 70 years, 600-700 nuclear reactors have been in operation worldwide, and three of them have had major accidents. You already mentioned two of them, the third is Three Mile Island.
That’s a catastrophic failure rate under 0.5 percent. Sure, the effects of a failure spread widely and can be a hazard for a long time, but personally I would want to see the same risk-averse sentiment applied to production and use of perfluorinated compounds and fossil fuels, since both of those can spread much farther and cause more of a hazard.
The cherry on top: coal power plants spread significant amounts of radionuclides into the environment.