<p>And to add on that getting involved in politics is more about who you know and how you get there. For example if you are a poli sci major who sits around and never gets involved in campaigns(at all levels) or other political organizations your job prospects will be the same at all three schools(near zero).
In fact, in my opinion, computer science, math, economic majors ect are a lot more needed in the political campaign world. There are a billion poli sci majors but only a few people who are good with numbers who want to work in politics.
Another benificial major for politics is marketing(for obvious reasons)</p>