Whilst I have used my angle grinder on bodies for comfort contours and some shaping, it wouldn't be my first choice for working on a neck or headstock. Obviously louie's dad has the ability to pull it off, but the risk of things going wrong are pretty high IMO.
For one, angle grinders run at very high RPM and I've never seen one with a variable speed trigger. I use a "flap-disc" for timber not a standard grinding/cutting disc, but even with a flap-disc, the RPM makes it easy to burn the timber (especially on maple). Those burns can be hard to remove without going deeper and that may effect the shape/form you're trying to achieve.
For power tools to be used on a headstock, I would stick to things like a jig-saw or scroll saw for roughing out, followed by a vertical drum sander (or DIY drum sander jig) or good old fashioned files and sandpaper. If no power tools are an option, there's the tried and true hand-held coping saw! Granted that takes more effort and patience, but if you're only building one guitar at a time, it's not a huge amount of time in the big picture.