'10 G37 sedan. What is the best method to "shine up" my headlights? I feel like the 3M kit won't be too helpful with how rounded the lights are, do they?

 

Several steps of wet sanding by hand; then compounding and polishing with a random orbital polisher, and finish it off by clear coating. The process involves some amount of skill with a random orbital polisher, but the results are phenomenal.