Over on Programmers, accept rate doesn't show up on your card when you ask a question. I wonder if we shouldn't adopt the same model here, since a lot of questions are going to bring very different answers from different viewpoints and make it hard to pick a single objective "right answer" the way we can on the more technical SE sites.
This is incorrect. See here, for example.
Accept rates are shown on all Stack Exchange sites, except per-site metas (such as this one). They are sometimes not shown, however, when the user has asked very few questions. See this answer for the exact rules for when the accept rate is shown on a main site.
Also, Jeff has hinted that the accept rate might be replaced with some other statistic in the near future.
There is a fundamental misunderstanding here that "there is no correct answer". In fact there is usually a correct answer to questions about Christianity - and the answer is often "this group believes this, while that group believes that". A good answer describes them all, and when you get such an answer you should accept it. Unfortunately they are all too rare at the moment.