I love basically all your ideas. Especially your take on sage. I was actually about to make a post on here about what I'd change about sage and overall you and I had nearly identical ideas. My idea for sage was largely the same: Your main way of healing is via kardia and it has what amounts to a combo. However, I played with the similarity with sage and red mage in previous FF games where the jobs were very similar insofar as they used black and white magic. That wouldn't make a whole lot of sense given 14 sage's identity of sci-fi effects and whatnot so instead my idea had sage's rotation rely on procs like red mage.
Dosis has a high chance to proc duodosis which has a chance to proc tridosis. Both of these would increase your damage or grant sings. Alternatively, if you use eukrasia they turn into spells that increase healing and grant a gall respectively. I also had the idea of removing ixochole. In its place would be phlegma which would have the unique effect of healing for 100% of its damage dealt. It would also have a cooldown that guarantees its combo will proc on two charges with a 45/60 sec or so cooldown. Also, i'd remove panhaima and instead make pneuma work as it does in PvP where it applies panhaima instead. Haima/panhaima can be dispelled by pepsis.