I've read before that whites in Hawaii come disproportionately from Southern backgrounds, presumably because of its large military population. I'd imagine they constitute part of the Republican vote in the state.
I'm pretty sure Hawaiian Whites vote to the left of Asians or Natives.
Asians maybe, but native Hawaiians are generally quite Dem exceptions like Niihau notwithstanding. Note that Honolulu County is usually the best county for Republicans. IIRC, Chinese in Hawaii were more Republican while the Japanese were generally Democrats.