I was reading an article the other day about that was advising Jews on how to properly combat Christian missionaries on college campuses. It said that the best thing to do is avoid getting into the conversation at all since it is fruitless. It stated that you can discredit one of their proofs and they will say something along the lines of "well, that may not be true, but what about . . . " and then move on to the next proof.
Is that really any different than Orthodox Judaism? Take the following issues the trouble many skeptics; Creation, The Exodus, The Flood. You have scientific/geological issues with 6 days of creation. You have archeological/historical issues with The Exodus. You have geological/zoological issues with The Flood. So how does OJ answer? Well it says so in the torah and therefore it must be true.
So in the end, it doesn't really matter how you argue against anything in the Torah if you believe in the divinity of the Torah because it can't be wrong . On the flip side, is there hope of convincing an affirmed athiest (or skeptic) that the Torah is indeed divine?
While it is possible to convince people to move from one camp to the other, I think that once we are educated enough to make these arguments and back them up, we are pretty entrenched in our ways.
I would like to think that if someone showed me a side of Judaism that actually spoke to me that I would be open to it, but I just don't know that I am. I openly admit that I am looking harder for the proofs to back up my skeptic thoughts than ones that support the opposing view.