I hope he is remembered. But, as my profile says, it is not just trump

I think his only reason is to be the first president since Wilson to add territory to the US and he hopes it will be named after him.

He thinks naming lots of stuff after himself will glorify his legacy.

I think it will be like naming things after Hitler. Might not age well.

I'm guessing this picture was taken whilst trump was in the toilet at the back of the plane.

I don't care if the US dome system needs to be physically located in Greenland.
Tough shit.

Build something else that doesn't, or just suck it up.

So, apart from many, many, other reasons. By his own words this is, allegedly, to protect ONLY the US.
Why would Denmark or anyone else in Europe support letting the US take over this territory? Literally what is in it for them.

You are kidding. Deaths in Iran have been top line news on CNN and BBC say, for a week or more. Meanwhile Israel continues to kill, maim, and suppress human rights despite the ceasefire.
There is not very much reporting on that.

This administration has demonstrated a lack of care for both, and Congress and SCOTUS seem to agree.

Unbelievable that the US government at Congress, SCOTUS, and state levels are standing by whilst white supremacist thugs roam the country assaulting, detaining, and abusing people based solely on the color of their skin or their accent. No due process. No compensation.
Unbelievable.

The biggest waste of money since trump's golfing, trump's ballroom, trump's military parade, trump's bathroom, trump's...

Oh, you get the idea

It won't end well for them, which is probably a good thing for everyone else

Like Churchill. He could so easily have avoided a long protracted war if he'd simply made peace with Hitler.