Moreover, if mankind ever expands into space, it would be rather naive to think that earth's nations would play a role there in the long run. Earth's nations change all the time, they are mere human constructs, and of course the same would happen in outer space. It would take maybe a hundred years or so for space colonies to declare their independence. And afterwards, they form larger unions again, just like on earth, because forming unions is in their interests.
> The idea of a society that big being governable is part of the science fiction.
That's far off topic, but to reply to this aspect of your post: Claiming that you can govern countries like Australia, the US, and Russia, but not the world as a whole draws some pretty arbitrary boundaries. With a federal structure, it would be no problem.
People said about every country before it was united that it will never be united. Before Germany was united, people said that it's absolutely impossible to govern such a big country and that the cultures of Prussia and Bavaria are just too different. Before the EU was funded, people said that certain European countries could never closely work together or even form a trade union and that there would always be war between some of them. Heck, probably settlers in the US also were convinced that the South and the North could never live together or be governed as one nation, because it's just too big. And so on, and so forth, you get the gist.