I think the crucial point of disagreement was made very clear in the point of the debate at which Andy asked Jeff (at about 43:30 in the YouTube video): "What is the foundation of your faith? Why do you believe what you believe?" Jeff, in his typical quick and confident manner, replied: "The Word of the Living God!" Andy apparently wasn't adequately prepared to reply to this answer and responded with a weak, "Ok...". (It is even worse if you are watching the YouTube video because he follows up with a shoulder shrug and a smirk...)
I wish to briefly share my thoughts on one thing I believe to be a crucial component [of debate]. What is that one thing? In a word, humility.