Electric vehicles will greatly flatten the power demand curve of the grid.
Teslas only need a software patch to let them charge when the grid tells them to (in exchange for a big electricity discount).
Any new nuclear project starting today will come online some 10 years from now when Li Ion electricity storage will be quite cheap, just distribute Li Ion packs throughout the grid so they can charge at off peak hours and discharge at peak.
Any efforts of say no to nuclear isn't increasing solar/wind adoption, but rather helping coal and natural gas stay.
Nuclear reactors can do some load following. EDF in France does it. US reactors don't do it cause there are few enough reactors their job is to produce as much electricity as possible, all the time.
You can double nuclear in the USA and many other countries without creating problems for renewables.
Nuclear needs to replace the really bad baseload coal plants. Replacing them with natural gas isn't the best solution !