I'm actually not an American and I don't reject the proposal outright. I think the pragmatic approach is still best though: study polisci if you are actually serious about going into politics (or at least policy). But if you don't know what you want to do with your life then it's not a great idea to go into the humanities and hope for the best (while racking up a lot of debt).
Yeah going all in into political science is a bit risky, but just including some course is free and might help understanding society issues and political manipulation.
Oh yeah. I studied mathematics but I took a minor in philosophy. I studied philosophy of economics and philosophy of law, in addition to the usual metaphysics and epistemology stuff.