DJI Phantom FC40 UAV Drone Quadcopter

What would I need to remove this camera and use my GoPro Hero 3?

I may be wrong, but I don’t think the FC40 camera has image stabilization. If you mean the anti-vibration rubber that is seen on the camera, you can pretty much get the same thing designed for a GoPro.

The only downside from using the GoPro I guess is that you lose FPV capability. But at least you have the option to switch between the two with this one.

By the looks of it, the FC40 uses a GoPro mount. So all you need to do is unthread the mounting screw (I have no idea what the official word for it is called) and replace it with a GoPro housing.