If they learn how to speak Japanese and assimilate, allow them to stay. It could help Japan with it's declining population problem.
日本＊ピング＊ (kono risuto ni hairitai ka detai wo shirasete kudasai : let me know if you want on or off this list)
They would be evac'ed, probably housed comfortably near Haneda Airport for a week or so, and then sent right onward to the Philippines, w/GOJ and Gov. of PI probably splitting the costs. Japan would not accept them, nor does it have a duty to do so, on a long term basis, only short term humanitarian evac refugees with a limited landing period. They would do that, but no more I am certain. If any Filipino wants to stay in Japan for anything more than three months, they are going to have to do it through the Japanese embassy in Manila or a consulate, and have a job and a sponsor lined up here in recession Japan. However, if they relaxed the vigorous (some would say "xenophobic") caregiver and nursing tests here--centering mostly on required fluency in Japanese, you might see a number of them employed in health care industry, but it won't happen overnight.
The irony is that the US government is liable to leave their civilians in the ROK to the last moment, as sitting ducks, and then have a big last minute Chinese fire drill over the whole thing--if Obama and Hilary are in charge over it.