All of that is why I want Europe to take it seriously, even though I think they might be cooling off now that Trump has backed off.
We (both of my "we"s given I'm a British citizen but live in the EU) sent in tripwire forces to defend Greenland. Their purpose is that getting shot is a casus belli for us to go to war with the USA.
Also remember: NATO has two other nuclear powers besides the USA, and the biggest flaw with one of those nuclear arsenals is how when the UK test-fired the missiles it bought from the USA, they went the wrong way or didn't launch properly at all.
I don't know what the order of events would have been given how heavily tied together EU and US (and UK) economies are, but essentially the EU banning the purchase of new US treasuries by itself would cause something in the order of US inflation going to 10% for several years; this, plus any economic departure (I'm thinking emigration more than internment camps like Japanese-Americans in WW2, much worse if that) from all the European migrants on visas (and some or all of the naturalised ones, but that number will be less… unless Trump also strips that like he's been suggesting), the US could loose 2-5 million people's worth of useful economic labour from the workforce. (Even if they're put in work camps, they're not getting good work out of them).
In the other direction, if the US cuts off cloud computing today, the EU is almost immediately screwed. Hence article.
But if the EU's screwed, then we don't have the money to buy the US treasuries, so screwing us also screws the US. That 10% inflation I mentioned, that's just from not buying T-bills; screwing the EU like this would also mean no more trade with the EU, which basically doubles the US unemployment rate on top of that, budget deficit goes to $3T/year, and costs the US 5% GDP relative to the baseline (i.e. what it would have been without invading) forever. Without a shot fired. But France has enough nukes that even if the USA's anti-missile defences can stop 80% of them, it could by itself destroy every US state capital and still have several left over.
And if you're worried about Russia taking over Greenland, oh boy you should worry about what they do to a catastrophically weakened Europe that isn't just a hard-to-mine sheet of ice supporting a population that wouldn't even half-fill these seats: https://en.wikipedia.org/wiki/File:Narendra_Modi_Stadium_vie...