I just have an idiot idea that could we build our game on the XBOX360

That's not an idiot idea. That is an good question. It can be done but Microsoft would never allow it to be published.
I'm going to become controversial and say that the PC is better than the Xbox360 anyway. The xbox is a locked box that does everything for you. The PC gives you the ability to be as creative as you want and the real value is in creating and modding your own games. Just compare Xbox360 Minecraft to the PC Minecraft. The PC version has so many Mods and tweaks it completely kills the xbox360 version.