Reasons we need Greenland

It embiggens us.

We're ready for a fight with American barbarians!

- CANADA

Because green is a pretty color?

OP, that upper left side on the map seems to not be consistent with your “surrounding” proposition. Will there be a line of aircraft carrier groups for that flank?

Wouldn’t it be more efficient to hold the Christmas Moose hostage in Stonheham, MA?

R4, the Mercator projection can be so confusing to the geographically illiterate. Perhaps this polar projection is more your speed? Alaska hooks around and covers the “upper left” more than adequately, considering what’s up there.

In actuality Greenland is less than a half the size of how it appears in OP's pic

Better look.

Anybody up for a game of Risk?

With global warming, the Arctic will become an increasingly exploitable region. We have only a tiny wedge of Arctic exposure - the north coast of Alaska. The Canadians have more, but both the Mercator and polar projections show us who has the most. That can't be good.

Also, you know who has no Arctic waterfront? China. Greenland has only 58,000 people. There's no way they can properly make use of their future extremely desirable location without essentially becoming a dependency of another country. China will be waiting with open arms. That's not good, either.

I think we should leave Greenland alone, but the idea that it should become a wholly owned subsidiary of the USA is not strategically crazy.