The problem with the analogy is obvious - half of Americans already believe the election was rigged and flagrantly so. While people believing elections are rigged is nothing new - it was almost a running joke to talk about how Truman or Kennedy rigged elections, and Gore Vidal would even say outright that Truman stole 1948 blatantly - a whole lot of people, and not just Trump supporters - already have doubts about the legitimacy of any of this. CNN pretty much stating "this is not a coup" the moment Trump said it was rigged, and the reality that all of this seems like a tawdry drama, only heightens a lack of trust in the election and indeed the entire system. You already have a lot of paranoia about the "deep state" - which is not unfounded, because there are networks of foundations and influence behind the scene, and most of those networks aren't hidden. You also have a great deal of skepticism the more Biden announces his cabinet and his plans. You can already hear the groaning that Biden has vowed to lock down, months ahead of entering office, and there is no plan to offer Americans a stimulus or any compensation during the lockdown. You also have the Trump hardcores on the edge of civil war when their man is out of office, who have openly pined for Trump just doing a straight up coup. So already, the sanctity of elections and democracy is teetering on the edge of collapse, and those people who think the election was rigged - and I do believe it was not just rigged but very openly rigged - aren't going to be placated by another election.
Is Biden going to be legitimately, Constitutionally the next president? Of course he is. The institutions and most of the government has already concluded that, rigged election or not. That he did pretty brazenly rig and still has legitimacy says enough. The liberals also believe (correctly) that Trump is treasonous and wholly illegitimate from the start, and that a coup would have been justified in removing him since 2017. Imagine how willing they would be for a coup if Trump actually decided to declare martial law and dissolve Congress (which won't happen). All the theatrics have led to more than half of the country perfectly happy for a coup, one way or the other, and that is pretty much in the open now. If large parts of the country would be ready to support a coup, and another large part doesn't give a shit what the politicians do, who exactly is still concerned with the sanctity of elections? Maybe you have a few principled people left, and you have people who just want normalcy out of fear of what would happen otherwise, but you're overestimating how much Americans - particularly Americans under the age of 40 - are interested in republican virtue. They've already gone over to believing that power is legitimizing, rather than the institutions themselves. And with all the power grabs that have been done through the institutions over the years, the overreach of the Supreme Court - for screamingly reactionary and anti-worker objectives - the institutions had already been losing much of their gravitas.
Now you may say - well, maybe these institutions are gone, but most Americans still believe in democracy, right? They would have to have some other government with elections, surely? The rub, of course, is that what people believe is not so relevant once you say the Constitution is bunk. It would be possible to pass some sham elections, that are so managed that the outcomes are virtually guaranteed. But even with this, you have to remember the mass of the population under 40, and the ideas that are prevalent there. Of that group, only a minority even bothered to vote, and most non-voters are mildly offended at the notion that voting is at all legitimate. It's not just a matter of non-voting out of ignorance, or because they don't think they know enough to make a decision. The idea of democracy itself, of the idea that people should have a say in what rulers do, has been sullied so much. In a way, it was always like this, as American politics has always been an aristocratic shitshow. But the meme of meritocracy and technocrats has been so aggressively pushed that you have a lot of people, especially the politically active, who would prefer to limit the electorate and candidate pool along academic or intellectual lines. Just watch how many people will demand an IQ test for voting rights in the next year, and how stuff like that will be aggressively promoted. The propaganda machine is very, very capable of engineering movements into existence that give the apperance of popular support, or at least enough support to make the change pass through.