I was asked this question recently, and I had to really think through it. I determined that I'm somewhat of a hybrid out of necessity. In an ideal world I would be a "people focused manager", meaning that I guide by mentoring, supporting and providing career development for my employees. That said in order to fit into the process of my organization I'm 20% a project focused manager, and dictate deadlines, planning and deliverables.
I'm curious how others define themselves, and how they would (or have) promote change to shift towards one or the other?