It's great.
It depends on what you mean by cut off from the rest of the country.
A lot of people on Guam know the American way of doing things and they also know the way things are done in this side of the world (asia).
Many mainlanders who don't like it on Guam are usually from the military and there is a culture on Guam that is an Us vs. Them thing. The military people are very clannish and they stick only to what they know. I've noticed that the military people don't like change or are afraid of change and differences. The military people tend to isolate themselves from the outside world that is Guam and the people of Guam are fine by it because the military people aren't very nice people. It's not a Guam thing. It is also a Korean thing, a Japanese thing, a Okinawa thing, etc. The military people are not nice to these countries and so we create a mutual dislike between locals and military.
A lot of mainland americans tend to not like it on Guam because it is a very different place.
Many have a romanticism of Islands and asia, they would think it would be exotic and a place where they can impress their dominance on and many believe people on Guam and all the US territories are filled with dumb, ignorant people.
Guam knows what is being said about Guam in the mainland and it is never positive. Guam has lived with it and can now no longer care about what mainlanders say about Guam. Guam isn't isolated from the US.
Guam is in every bit as American as the most american city, yet very island and asian. Interesting place if you explore it.