I absolutely hate industries in which “knowing someone” is essential to progressing in the field. Is that enough of a concern to merit considering a different profession? If so, is law any different, and what kinds of jobs (if any) would not have this issue?
At the end of the day, if you love political science and can see yourself doing something in that field, you should persue that. The question is, are you fighting for or against this major. For example, when you think about the cons of this major, do you think, “This is sort of a knowing someone field- I shouldn’t do it” or “this is sort of a knowing someone field- but I love it so much.”
This is true of pretty much all professions. At the end of the day, people doing a variety of different things like to work with people whose work they know and appreciate and whose personalities they know won’t clash with the rest of their team’s. Even in jobs where the quality of your work is directly measurable (like winning cases, preparing taxes in accounting, building things that work, etc.) after a certain point progression is at least partly based upon on how well you make connections with people.
Why do hate the idea that knowing someone is essentially to progression?