what do you mean use mileage form any airlines to book an interisland on Hawaiin
Every major domestic airline will book you an interisland round-trip (i.e. HNL-LIH-HNL) or open jaw ticket (i.e. HNL-LIH-OGG) on Hawaiian for 10,000 miles.
Plus:
AA will let you book a one-way for 5,000.
Continental will let you have a free stopover so you can go HNL-LIH-OGG-HNL for 10,000 miles.