The US taking over Greenland is essentially an entirely new idea that hasn't really been broadcast before by anyone but Trump. This strongly suggests that the idea doesn't originate from any powerful "faction".

It's not at all true that this is an entirely new idea, though. Greenland's status has been a topic of discussion ever since (at least) World War 2. What's new is that the administration is signalling that they are willing to actually invade. In the past, that was only discussed in terms of war plans should the US mainland be attacked or there's another world war. Purchasing it, though, is a pretty old idea.

I meant entirely new for the current generation of people running the white house, not that it's literally never ever been discussed before. The people who were previously interested in this are mostly long dead.

The purchase of Greenland was most recently the topic of intermittent but somewhat serious discussions between 1940-1955. After the cold war the US government largely lost interest in Greenland, pulled out almost all staff and closed all but one base. If some kind of Greenland acquisition had any significant backing, the US would at least have maintained a more significant presence there.

> The major proponent appears to be Stephen Miller. There are a lot of reports that the tech bro contingent is eager for it as well

It's really really hard to imagine Trump's successor being particularly interested in pursuing Greenland, especially since they wouldn't even have a complete term to work with. There's no indication that some powerful faction exists that'd be particularly interested in Greenland, and there's no obvious reason as to why such a faction would exist.