Greenland is an autonomous territory of Denmark, one of the founding members of NATO along with the US.
Article 5 of the North Atlantic Treaty states that an armed attack against one NATO member shall be considered an attack against all members, and triggers an obligation for each member to come to its assistance.
Attacking, invading, operating in, or otherwise taking military action against Greenland will at best destabilize and delegitimize NATO, and at worst prompt a full military response from NATO member states against the United States Military, the largest and most powerful armed force in history several times over, with a budget an order of magnitude larger than the rest of the world combined.
I cannot overstate how horrifically, hilariously bad this would be:
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It would begin an escalating conflict that would give China the perfect distraction to invade Taiwan, and remove the support that Ukraine desperately requires to continue defending against Russia.
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To avoid war, Denmark and NATO would be forced to concede and appease Trump as Chamberlain did with Hitler, further emboldening Trump, Putin, and Xi Jinping to continue their totalitarian regimes and campaigns which literally amount to no less than cartoonishly evil total world domination.
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In full scale conflict, NATO states would be faced with a losing battle in which their only recourse would quickly become the use of nuclear weapons.
This absolutely cannot happen. Our only window to stop the Trump regime’s utterly Fascist-with-a-capital-F designs by conventional political means is rapidly closing. Once the American military is in Denmark without their consent, my advice is to start looking at options for your own survival of WWIII.