If I were to advise someone really bright on a topic to start digging into the field of political philosophy, I imagine I'd suggest the following:
Compare the topic of useful tension in government developed by Machiavelli in his Discourses with that of the Hegelian dialectic (optionally look at Marxian revision and application of the Dialectic).
I'd be further tempted suggest reading Ibn Khaldun's Muqaddimah as a warm-up, as it's both immensely broad and relatively accessible to those without a solid background in the needed fields. It is a bit like how many cartoons/shows theoretically for children (consider Peewee's Playhouse, Animaniacs, or Freakazoid) are just as enjoyable when revisited later as adults as age reveals more layers of interest.
I'm not sure what kind of an actual teacher in philosophy I'd be, but it'd be fun designing curricula. It'd also be pretty fun to do that for computer science, I'd think (although there are some neat ideas and areas in CS that I'm not sure I could teach well).