Nuclear won't be accepted as a solution until people who claim to believe that climate change has the potential to end civilization accept that the only proven technology capable of replacing base-load coal is nuclear, and that climate change is a technological problem, not a social problem.
This will take a long time.
The green activist movement is completely dominated by Naiomi Klein-style social engineers who don't care one whit about the environment, but who see it as a useful tool for defeating global capitalism. Thus their opposition to any technological solution to the problem of CO2 emissions whatsoever.
Now that climate change is increasingly widely acknowledged as a real issue--the Pentagon takes it seriously, can you get realer than that?--the green activist community will increasingly be seen as the major impediment to solving the problem. The question is: will we push these utopian socialists aside quickly enough to save the planet?