Bad Religion had a huge influence on my political views as i was growing up.
Art is one of the best ways to understand the political views of a society. If the government is pissing you off sometimes the best way to fight back is to create some art expressing how you feel. It gives other people a chance to hear it and they might be thinking the same thing as you but may not have a way to express it....also it seemed to work out well for the beetles.
So what happens when the rebels become the establishment?
A while back I noticed that the political messages in rock music seemed really weak, and then I realized it's because they're all establishment messages now! In the 1960s it was edgy to talk about how white people deserved their comeuppance, but by the time Iron Maiden released "Run to the Hills" it was practically what every movie, TV show, and mainstream politician was saying too. Eddie Vedder's got all these songs about equality and women's rights...as if most people on TV or in the government would say a word otherwise without being fired and publicly shamed. How brave of you, Eddie. (And I like Pearl Jam!)
Bad Religion is left-wing, individualist, pro-abortion, pro-gay marriage, and atheist. If instead of being rock musicians they had been TV news anchors, politicians, business leaders, scholars, or presidents of state colleges, they could STILL feel perfectly comfortable stating their honest views in public and never fear for their long-term reputations or their safety. Not so if they were right-wing.
Just saying something that SOUNDS right-wing can get you fired, slandered, uninvited from speaking engagements, or blackballed altogether. It gets complaints lodged against your company, it can get you sued, it can land you in mandatory "sensitivity training", or in some countries it can land you in prison.
I think that's one of the reasons why if music is going to be political, I prefer right-wing messages. It's at least got some balls to it.