If we had built it in the 1980s, maybe we could be running off nuclear now, but the reactors would be reaching end of life.
What we know about nuclear today is that it is not feasible to construct. This is the crucial road block to nuclear. There are lots of places begging for nuclear to be built, but it never works out, and causes tremendous disaster for all involved in construction. The two "success" stories are China and Russia's Rosatom, but it's unlikely that we could have them construct reactors in the US and succeed. For a while it was hoped that South Korea could build for the rest of the world, but it has become clear in recent years that there was corruption at the root of their inspection process.
As for storage, it is getting deployed all the time, mostly in conjunction with new wind and solar installs (called "hybrid" in the field). It is unlikely that we could scale any sort of nuclear construction to catch the coattails of storage now, we are rolling out dozens of GW per year currently, and that will go up by a factor of 10 by 2026, and another factor of 10 by 2031, with an expected 10-30TWh of storage production annually. Nuclear can't scale like that.