Twitter is merely labelling a tweet as being factually incorrect, it's not hiding the content.
I know this is a very massive hypothetical, but it’s one I’ve wondered for a while. Basically, as the head of one of the branches, he could have subordinates forcefully removed, but who’ll forcefully remove him in this case?
It would have to happen through the courts, and the courts won't allow it.
They can bully Twitter and threaten to e.g. withhold federal contracts (though even this runs into legal trouble) but how does the executive branch just "shut down" a platform?
You can't just send in the FBI and put a halt on things.
This will just be more of his mindless rage that a certain portion of the population gobbles up. His real goal is to discredit Twitter et al, which is unlikely to have much impact.