I am educated on the Bible as well and while I do believe in a god, I do not believe in the Christian god (at least not anymore). I don't think faith is bound to religion since I have a strong faith, but it's not blind faith.
Anyway, I think it's an interesting concept. I know that I usually ask the other side questions. But I don't think that it works because of winkio's observation, I think it works because asking questions is an attacking position while answering them is a defending position. If you are not defending your or your point of view, you are in an advantage position. The defending person can't possibly have all the answers so at one point that person has to back up. And the more that person was trying to defend themselves, the more not knowing one answer makes them look like a loser (in the context of the debate, not in general). Another thing is that people often don't know their viewpoint well enough so if you keep asking questions and dig deeper and deeper, at one point they will have no answer, because they haven't thought about that yet.