The cost of batteries is still reducing so my numbers may be out of date, but last I checked it was close to the same for a nuclear plant and a sufficiently large battery pack (the PV to recharge the batteries is so cheap it's essentially a rounding error in this comparison).
I'm optimistic about future cost reductions to both batteries and PV. I'm pessimistic about the possibility of any future cost reductions to nuclear.
Despite this, I still think there's a place for nuclear — diversity (and not just of power supplies) is inherently a good thing because it de-correlates risks.