(Just looking at initial post, not bothering to read the several pages that follow)

I really like the idea of Red Mage combos branching between tp moves and spells. I think Red Mage should still use MP for spells, but conserve the MP if using them at the end of a combo. As a job, I think if they ever add Fencer, it would branch from this but also gain abilities from both THM and CNJ (low-tier nuking and healing respectively) while utilizing its own spells, since no two classes learn the same abilities.
Dualcast is a staple for the class, but White Mage already gets this in the form of Presence of Mind. Maybe Red Mage should get a fast-cast action, allowing them to temporarily halve or quarter cast/recast timers.