Unfortunately, from the American point of view, it could be thought that the US taking over Greenland makes good strong strategic sense from a military point of view. So I am afraid a great many of America's supporters of Trump will think this is a marvellous idea.
Obviously, we don't in Denmark, where agreement has been reached with Greenland that they are entitled to work towards being an independent country.
Judging from today's news, some, mainly young Greenlanders, are attracted by the idea of a tie to the US - they seem to have ignored or not understood that Trump is thinking along the lines of annexing their country, not just strengthening different kinds of relationships to it. Other Greenlanders are extremely worried by the idea, as are probably most Danes.
It makes little or no sense for two countries who both belong to NATO to get into a territorial dispute.
Should a majority of Greenlanders wish to end their political ties to Denmark, then they might be better off joining forces with Canada, rather than America. The American base on Thule has never been particularly popular with Greenlanders, who may well feel that Canada's views on military defence and on Inuit are more sensible than America's.
If Trump seriously wants to annexe Greenland, the Panama canal zone, or is it all of Panama? AND Canada, he will have his work cut out.
Presumably, American career diplomats are tearing their hair, irrespective of their political colour.
It is to be hoped that this is just Trump belting out bombast, not a serious political agenda.