There is a small difference though. Musk has shown in the past that it is possible to shame him into changing his mind. He is at least somewhat receptive to what the public thinks of him. Trump, on the other hand, has absolutely no shame and doesn't care if 90% of the country is against him as long as the 10% who are with him are enough to fill a rally room.

Musk is not constitutionally eligible for the presidency so if we were to come to power then he'd probably assume some newly-made office created just for him. They'd probably make a new prime minister-like role where he has the power to "advise" (i.e. dictate) policy decisions to the president.

That being said, power changes people. Hard to say whether a hypothetical Imperial Chancellor Musk would act much differently from King Trump I. I wager not substantially. Trump, at least, creates a lot of funny memes with his ridiculous fuck-ups. I fear Musk would be far more competent.