While I agree with you in principle, there are practical problems with nuclear power.
The first is that they usually end up a lot more expensive to build, run, and decommission than estimated in the planning stage; partly due to stringent regulation, as well as the required expertise. Nuclear does need strong oversight, because it's way too tempting for operators to start cutting corners to save operating costs, and we have multiple examples of nuclear contamination when that happened. Yes, new designs are a lot safer - they're also more expensive, which is one reason that they haven't really been built. It's more cost effective to run old plants long past their original design date, which of course has risks.
The second is public acceptance. If green lobby groups had that kind of power to influence government policy, we wouldn't have a carbon crisis in the first place. The oil and gas lobbies are extremely well funded, and that's what's ultimately kept them top of the pile - money talks. Radioactive and nuclear are maximum NIMBY, that's just the general public's view of nuclear, and it has been since at least the 70s. Coal plants emit more radioactive waste in the smoke than an equivalent rated nuclear reactor, but that is definitely not the public perception, and swinging the public behind radical energy-policy change is going to be hard enough without also trying to sell nuclear as the solution which has a very poor general public image, not least due to Chernobyl and Fukushima.
Lastly, and the biggest one really - it's just too late. We should have embarked on mass building nuclear 20-30 years ago, but we didn't, and we have to deal with where we are now. We need to be bring online non-carbon energy plants fast, not in 15 years when new nuke plants would finally be going online. Not that we shouldn't start on new nuclear plants too to kill off the hardest-to-replace carbon plants, but to avoid the 2deg point we need to stop building carbon plants right now, and aggressively decommission the existing ones as the carbon footprint extends for decades for every plant. Solar and wind plants can go up relatively quickly, grid redesign to decentralise can continue more aggressively, and the improvements and lowered costs will get here sooner if we're actually building them in bulk rather than waiting for theoretical tech improvements.
As a species we've made some pretty bad decisions, but our lack of action on energy production even though we knew the consequences looks like it might well be the worst. The perfect being the enemy of the good applies just as much to not building solar and wind plants today as it does to not building nuclear plants in the past. Frankly, I'm not bothered personally whether we build nuclear, solar or both, as long as we start getting non-carbon power online fast.
Because otherwise insane(ly expensive) geoengineering projects like TFA - with major drawbacks - will be our last ditch chance.