That's the thing I would like to see from the pro-nuclear side - not more assurances that modern reactors are safe, but a demonstration that if something does go wrong, we could actually clean it up and it won't become another permanent blight on the landscape.
Fully clean up Chernobyl (or Hanford, Washington, which wasn't an "incident" but is still a radioactive mess) and I'll support more nuclear reactors 100%.
But I want a better remediation plan than "bulldoze all the radioactive stuff into a pile, pour a bunch of concrete on top and wait for a few centuries".