DefenseNews has an excellent article on the challenges facing the Norwegian Coast Guard around the islands of Svalbard.
You thought the USCG was small. They have less than 400 people but operate nine ocean going ships as well as inshore patrol vessels. They are part of the Norwegian Navy and have no aircraft of their own, so they don’t have the same range of responsibilities, but by any measure, they are a small force.
Global warming has increased access for fisheries and tourism. Traffic is increasing around the island of Svalbard and they are unable to meet the demanding new conditions.
We are likely to face similar problems in the American Arctic EEZ. How far is it from the nearest Coast Guard Air Station (Kodiak) to the Bering Strait? (677 nautical miles). To Barrow (822 n.mi).
How many ships do we expect to keep north of the Bering Strait? Would be surprised if it more than one.