In general, the ethical theory that prevails here on Less Wrong is preference utilitarianism. The fundamental idea is that the correct moral action is the one that satisfies the strongest preferences of the most people. Preferences are discussed with units such as fun, pain, death, torture, etc. One of the biggest dilemmas posed on this site is the Torture vs. Dust Specks problem. I should say, up front, that I would go with dust specks, for some of the reasons I mentioned here. I mention this because it may be biasing my judgments about my question here.
I had a thought recently about another aspect of Torture vs. Dust Specks, and wanted to submit it to some Less Wrong Discussion. Namely, do other people's moral intuitions constitute a preference that we should factor into a utilitarian calculation? I would predict, based on human nature, that a if the 3^^^3 people were asked if they wanted to inflict a dust speck in each one of their eyes, in exchange for not torturing another individual for 50 years, they would probably vote for dust specks.
Should we assign weight to other people's moral intuitions, and how much weight should it have?
Possibly. However there is significant semantic ambiguity centring around 'for' and the concept of purpose. There is legitimate literal meaning there in which the claim is not moral at all (although it would be rather exaggerated.)
A moral judgement that I do make unambiguously is that people should not be expected to answer loaded moral questions of that kind transparently. Most people are, fortunately, equipped with finely tuned hypocrisy instincts so that they can answer with bullshit with full sincerity. I don't expect those that have defective hypocrisy instincts to self sabotage by sharing their private, internally coherent value system.
I also note that questions of that form I will reply to with obfuscation, overt insincerity or outright non-response even when I would comfortably answer yes. In this case 'yes' is a rather weak answer, given that 'factor in' does not specify degree of weighting. Yet many questions (or challenges) of the same form are far less mellow, not anyone else's business unless I choose it to be and potentially have either no answer that sounds acceptable or the appropriate response (once multiplied out) sounds evil.
For example if the degree of 'factoring in other's intuitions' was specified it could be the case that the factoring in others is the 'evil' response, despite being egalitarian. Kind of like I consider CEV to be an incredibly stupid plan even though it sounds kind of like the goody goody heroic altruist response at a superficial level.
But the come to think of it your question was about what should be factored in to a utilitarian calculation. So my answer would really have to be null - because utilitarian morality is an abomination that I would never be using in the first place!
A robust and candid position.