I personally like both questions (having recently become an informal sociology/psychology student).
I agree with you that the second question will be better received. The first question has a few sticky issues:
- It doesn't really seem to be about Christianity, per se. Any decent study on conversion narratives should include other faiths as well. However, I could see someone like George Barna researching this exclusively for Christianity. Whether any exist or not, I can't say.
- Is this close to Christian fiction/literature or Christian Culture, which has been received with mixed reviews? Well, kind of.
- Ultimately, unless there already exists some really good research on this, the answers that come from this will be incomplete, entirely opinion based without sources, or require extensive research on the poster's part complete with examples of conversion narratives from all three groups.
For point one, I think we can simply dismiss that. We shouldn't turn down good questions because the necessary research for a good answer may not exist.
For point two, I think they are all three separate and distinct topics. You are wanting to examine psychology, culture is sociology, and fiction can been viewed as popular culture, a subset of sociology.
Point three is the problem. Questions are closed all the time because of notions about the kind of answers it will receive. But I say the benefits outweigh the risks in this case. It's not exactly a topic that will get a bunch of trolls drooling.
I say ask away.