I have no problems with nuclear personally, I think we should keep safe reactors running as long as our replacements would be LNG. I do think new-build nuclear would largely be deployed too slowly to help with climate change in the short run, but long-run I think it'll be an amazing source of huge amounts of power. Maybe we can have specialized reactors on-site which deal with the waste from our older reactors or from new reactors...not to mention new designs that are passively safe.
Solar and wind are much cheaper, but cannot be scaled in proportion to demand. Given sufficient advances in storage and transmission they may be able to eventually, but maybe not.
Building nuclear that we may not end up needing if the required advances happen means that our worst case is a vastly cleaner energy system, a much better worse case than a continuing dependence on coal and gas.