> What do you do if you have to shut down the nuclear power plant in bad weather for some reason?

You don’t. If your plant is properly designed, you’re absolutely immune to any extreme weather conditions.

Heck, we have nuclear-powered vehicles sent beyond our galaxy and they’re still working.

Nuclear power is literally the only form of energy we have that can work under virtually all environmental conditions.

Nuclear fission works even in vacuum.

It doesn't just have to be designed right, it has to be built right. Like Fukishima where the design engineer resigned during construction over how low the sea wall was built. The sister plant which was closer to the epicenter had the proper sea wall and as such it was totally fine despite the higher waves.

The problem with nuclear is we can't have it until we have eliminated corruption. In that industry it can lead to a literal nuclear meltdown.

You have to make the construction process transparent and verifiable enough and then these issues can be removed. It's not a given, but it certainly is doable.