The US would erupt in protest if the American military laid a finger on any <checks notes> Danish or other NATO-allied troops.
Indeed, there would likely be a great deal of backlash in the military itself.
This is not what Americans want. It cannot even be said that those who voted for Our National Embarrassment want this, because He Who Shall Not Be Named ran on an isolationist, xenophobic platform that pledged "no new wars" and that he would be the "president of peace".