Very cool core system. I have not played any RPGs that use something similar to compare it to (I guess the Mega Man: Battle Network games play like this?), but I can already see the groundwork for interesting strategy and real-time elements. I think this is a niche in indie RPGs that nobody else is really filling right now so I would love to see where your team takes this with continued development. Good job!
EDIT: I also liked the environment in the battle scene. It reminds me of PS2 Persona 3.