An atheist that engages in something called "Street Epistemology" has interviewed many Christians trying to challenge them on what they believe with the Socratic Method. In this video, Aaron offers a different perspective on how to rationally believe in God. The primary focus is around a first cause argument.
This is a follow up from a conversation with a different Christian about a position called Presuppositionalism. This is a position about knowledge that believes the existence of God and the truth of the Bible needs to be presupposed in order to have any other knowledge or beliefs and that no other prior axioms or beliefs can infer to God or the Bible. You can see that video here.