Nuclear is exceptionally safe and all the recent accidents (and ones in the past, really) are all due to human stupidity and bypassing several failsafes. You can argue that's an issue that will never go away, and that's true in the absolute sense, but it's not a nuclear problem. It's a human issue. We're holding ourselves back for scientific research because of arbitrary issues; and the weapons test ban didn't even solve nuclear proliferation anyway.
Solar won't be held back because nuclear is finally an option. They serve two different purposes entirely.