If your hands are too shaky then don't shoot with it handheld. It looks that the better video shot before the camera came out was the stuff on a tripod. If handholding is a limitation we then have work around it. The other thing is that you have to light what you are shooting the best possible. We all know thats a given. We can't make conclusions until everything is tested especially, how to properly set the camera up before shooting.
I know, that's what I get for trying to hurry up and get people footage.