You are only allowed to treat the content of your intuition as evidence if the intuition stays after you have exposed it to cognitive psychotherapy; in some cases you have to reject it even if it does indeed stay.

I am indeed a moral realist.

One way of submitting your moral intuitions in relation to some issue to cognitive therapy is to learn more about how people in other cultures think about it.

I have been brought up in a culture where capital punishment is indeed anathema. I have always thought of myself as a principled opponent to capital punishment. However, when thinking about how the topic is handled in other cultures, in particular the American, Russian and Chinese ones, I have realised that my own tack on the issue was utterly superficial.

Global governance need not take a democratic form.

The US two party system is very different, of course. Here the people decides about who should rule them, but it is not reasonable to claim that the people rules itself through the political institutions. In comparison, I find that the standard European system is better, also as a model for global democracy.

Even where people in different cultures agree they may all have gone wrong.