You say lot of things that are correct and some that are not:

• nuclear is not good at following fast changes in demand (battery are the best technology for that) but are very good at following the grid load. Nuclear fleet in France can cycle down to 30% daily. And they do that when needed.
• nuclear is safe in the same way that airplanes are safe: very few incidents with lot of consequences, but still very few incidents. Nuclear is one of the safest form of energy, and new design are even safer then the already safe old designs that are currently running. Given the current alternative to nuclear with similar characteristics (dispatchable steam turbine with cheap fuel) is coal, which is responsible for millions of dead, we need to keep nuclear efficient and competitive to save lives.
• renewables, batteries and nuclear are complementary technologies that works well together. In places with lot of wind and hydropower the need for nuclear is vastly reduced. Not all places can enjoy the same conditions, and nuclear saves lives
• the reason why we do not put the necessary effort in finding a solution for nuclear waste is that nuclear waste is very little, so, as all human do, we procrastinate as this is not really a problem.

We need to invest in renewable technologies, batteries technology, and nuclear technology. We want all of them to succeed in decarbonizing the grid, as those technologies insists on different industrial bottlenecks on their deployment. China knows this, and is building nuclear reactors at rate never seen before, while doing the same for solar, wind and batteries. Renewable will be the bulk of energy production because they are cheap. Nuclear role is not the same as renewable. Nuclear is to provide dependable baseload when wind and solar do not produce enough. Nuclear, renewable and batteries together are cheaper and faster to deploy then any other combination, so it is good to continue investing in all of them.