Sure, if it were implemented. But I don't see a practical way to implement it (in the US, Western Europe, etc.), given opposition. China, Russia and others aren't affected and will move forward with nuclear development, though.
You could have said the same thing a century ago about letting women vote (with just some unimportant changes in your choice of nations).
Public opinion is not set in stone. It can (and should) change.
I'm not sure what your point is, but while there are places in which women vote would have been opposed even by most women, n others, that would not have been so, and it would have been opposition from other groups that would have stopped it. In any case, public opinion is not the only strong opposition that there might be. Other powerful groups - even if small minorities - can and often do make attempts to implement some policies very likely to fail. That applied to women vote, or for that matter, to any sort of public voting.
As for nuclear energy, I do think public opinion is in most of the West (at least) enough to block the replacement of most current energy sources with nuclear energy, and as I said, that's not likely to change any time soon. That does not imply that that's not likely to change ever. I make no claims about what will happen, say, a century from now. Those will be nearly always other people, who may well have very different opinions. Purely for example, success of nuclear energy replacing coal in China - which will very likely happen, sooner or later - may well convince future generations of Westerners that it's a good idea. What do I know?
Then again, it may well happen that before public opposition to nuclear becomes too weak to stop it in the West, solar+storage improves enough to actually work without gas and is widespread already, so building nuclear power stations when there already is a reasonably well functioning system based on solar+storage (or solar+wind+storage, in some places) might not be convenient, except perhaps in a few places. Nuclear energy will still be required for purposes such as space exploration.
As for whether public opinion
should change, the passive voice is somewhat unclear, but if you're saying the people should change their minds, yes of course they should. Well, most of them should (some might not have access to enough information and might be opposing rationally, but that's a very small minority). But for that matter, public opinion should change on whether God exists, on whether Jesus walked on water or resurrected, or (changing the country) whether Muhammad was a good person, etc. I wasn't making a point about that. I was saying it wasn't likely to change (on nuclear energy) any time soon. And the same goes for said religious beliefs. This is not to say it will never change. It's just that it's not likely to do so any time soon.
