Political science might be my minor. Probably not, though. If I was to be, it would be state senator. It's not where my heart is.
FO course, a PolSci minor will be as much worth in the political scene as a Toilet Cleening minor. If you want to be a politician, we all know what you have to take: LAW.
A career in law only gives an advantage to certain races. It's essential for DA and AG races, but really only helps when the candidate wants to jump in a mid-level policial office without working up from the bottom. It also can provide a better financial base to launch a career in politics.
Though law is the most common background in the US Congress, it is not the majority profession. The Speaker of the House was a HS history teacher before entering the political arena.