Personal and societal censorship are essentially the same from a moral perspective. The only difference is scope & consequence, which are irrelevant to a moral perspective. The fundamental act and its moral principles are the same.
If you simply ignore anything you disagree with, you will quickly find that you have passive aggressively removed those people from your society. The only real difference from taking them out back and having them shot is that you sleep better at night. Either way, they are still ostracized to extinction.