Renewables are definitely a factor at this point, and a growing one. Nuclear is not... new nuclear production is basically at a standstill, because it's far too expensive. Cost is what's killing coal, and it's killing traditional nuclear as well.
Trading perfectly-fine NPPs for fracked gas plants at this time in our climate history for 1 cent/kWh is a travesty.
https://statepowerproject.org/illinois/
https://statepowerproject.org/new-york/
That way low-cost natural gas generation can still replace coal fired generators but won't drive premature nuclear retirements.
I don't know if nuclear plants are covering the costs of storing spent fuel, but they should, and coal and natural gas plants should have to pay for the crap they release into the air.
Markets will only allocate resources appropriately if you internalize externalities. I can't think of a case where doing so is the wrong decision.