I think the “Take our country back” is/was a slogan used in the Brexit campaign. So don’t worry, the Norwegians are not coming to claim back the continent they “found” over 1000 years ago.
As to what Americans thinks and knows about Norway? It is kind of hilarious too. (Those who have heard about it at all that is)
Even those Americans who have spent some time in Norway have some screwed up ideas about many things Norwegian:
Sushi, Kebab, Taco and Pizza (the American variety of) has become “national dishes” in Norway. “Taco Friday” and the “Saturday Pizza” is now “Norwegian tradition”.
The idea of the Homogeneous, Mono-cultural, Mono-lingual Norway is looong gone. People of all races now live in Norway. Some are third generation of Pakistani decent, but a lot has arrived in the last 10-15 years. Lots of East Europeans, incl. Russians, are working in Norway but go home on their time off, while more and more bring their families and settle in Norway.
Some place in Norway has a lot of returned Norwegian-Americans, especially Lista and Farsund:
There are also some Americans oilfield workers that got “stranded” in the Stavanger and Bergen regions after the time when Americans were “Rulling the Roost” in the oil industry…
One very recent anecdote; many of the Norwegian-Americans in Norway that returned years ago received a cheque for USD 1200 (singed by President Trump) in the mail a few months ago.
Some chased the cheque, but others returned it with a note that there are a lot of people in the US that needed the money more then them: