we will run out of fuel for nuclear plants eventually. Nuclear fuel isn't just an infinite resource
This is true, but the amount of time needed to expend all of Earth's Uranium and Thorium is extremely absurd. Both those elements are very abundant in Earth's crust, and there are already millions of tons of already-mined, potentially-fissile material stockpiled in various countries. It doesn't take much fuel by mass to power a nuclear reactor since the energy comes from nuclear potential energy rather than chemical energy (almost
2 million times more specific energy per kilogram).
I'm not 100% sure about the numbers here, but I think I recall that a nuclear fuel assembly (all the fuel rods and such added together) weighs like about a ton, and it lasts something like six years. So you can see why it would be extremely difficult to expend tens of millions of tons of fuel when a single plant can power an entire urban center. It just doesn't take that many kilograms of nuclear material to produce millions of watts of power.
Basically, if it were an option to convert all of Earth's energy (in politically-stable, developed regions) to nuclear power, I would do it in a heart-beat. We will almost certainly invent some new, post-nuclear form of power many centuries before fuel shortages become an issue.
Edit:
https://www.scientificamerican.com/article/how-long-will-global-uranium-deposits-last/On further research, it looks like the common light-water-reactors are much less efficient with uranium than some of the newer models. At current rates of consumption (assuming no progress with breeder reactors or liquid-thorium), we could expect to run out of uranium in 230 years. But assuming breeder reactors become more popular and economical, the supply can last 35,000 years.
Also, on another note, ol' Donny's approval rating just hit an all-time low of 32%. Guess the whole Jerusalem decision cost him the national socialist vote :/