Well, I'm envisioning this as a single spell list, and then school-specific techniques that replicate some of the effects that are currently spells. So unless the Isawa can pick up other schools' techs, that approach won't work for them. Battle for Iuchi is worth considering, though. I'm still stuck on the Kitsu -- the problem is that canonically, their flavor is in large part "Spirit Realms!," but half my point with this hypothetical redesign is that Spirit Realms shouldn't be the domain of one shugenja school alone. On the other hand, making it just a case where they do Spirit Realms better than other schools means they feel less distinct than the other schools, who do genuinely different stuff.
On the other hand, hey, homebrew. :-) There are a couple of ancestor-related spells, and I have in mind a R5 tech already (temporarily bestowing a clan-appropriate Ancestor with their prayers). I could probably build a full set of techs if I tried.