Going from a G10 to a 6D... Am I dumb?

The advantage to a full frame camera is that you have more control over achieving a shallow DoF. However, that also means that you must know how to control your DoF. With something like a G10, accurate focusing isn't as much of an issue as you have far greater DoF, more of the scene is in acceptable focus. Moving to a DSLR, and especially a full frame DSLR, means you really need to know what you are focusing on, otherwise you can have an out-of-focus image. There are usually other advantages as you move up the camera hierarchy such as bigger & brighter viewfinders, more resolution and so on. You can also get these benefits by simply moving to a good cropped sensor DSLR. So again, what really sets a full frame camera apart is the ability to achieve a shallower DoF. In my minds eye, moving from a P&S to a full frame can be a tricky road. Do you believe the camera takes a picture? Or do you believe that you record an image and the camera is only a tool that allows you to do this? Any DSLR will have a learning curve, a full frame DSLR might have more of a learning curve. Provided you understand this, then I would say, great, get a full frame DSLR (although I think I would rather have a Nikon D600 over a Canon 6D unless you already have Canon lenses). But if all you do is put the camera in the green "auto" mode, then I would say a full frame DSLR is a waste of money.