The Red Mage: Not sure if this get you to the gish in can you were looking for. The HD of D6 is a little to low to be wading into combat, and I would not give it full casting. I would up the HD to D8 and limit the spells so it only gets 2nd level spells and come up with class features that allow combining spell casting and sword play.

I definitely agree that it should be refluffed as a more battlemage class than a gish. It fits in more with the the themes of the other Mages (Blue, Black, White. ect..) To be a full caster.

Also the Capstone to Chaos Child seems a bit over powered as to be a win button.