Despite misa's positive outlook on PT university work for Dohol, I am less optimistic. She might have SOME pull there, but I doubt it. His spouse visa (umm, you DO have one, don't you?) allows any sort of work, but competition for university jobs here, even PT ones, is fierce, and there are plenty of experienced people around.
If your kids are going to be in school, I presume you are going to be the one to get them ready and pick them up when it is over, and to deal with most of the daily problems that may arise there. Learn Japanese! Take classes while they are in school. Get a PT job teaching English (it's the easiest way for foreigners to land work). Teach out of your home if you have to.
A friend I know has a Thai wife. He teaches FT while she stays at home. She teaches cooking and dance classes and makes almost as much as he does. Her Japanese is much better, too, as a result of more exposure and immersion and opportunity to practice.