As far as I know it wouldn't be, unless Hawaii is considered part of the Southwest. I've always thought such references were regarding the lower 48 states.The only reason to use the term "northwest" or "southeast" or whatever, is to differentiate a region from the pack and give a frame of reference. Alaska already has that, being an isolated state, and having their own well deserved pride in their own identity.
deadeye is right! Alaska isn't apart of the Northwest. We do have our own pride, our own identity, and regional issues that no other state can relate too. Therefore there is a