The Evangelist Gallop. Akin to the Gish Gallop (nod to Modulous). A key difference is that the person is not trying to overwhelm or slide issues past you. The person actually believes the amount of material constitutes proof of their claims.
A discussion which follows the form: "What about A?" You refute A. "What about B though Z?" You refute each and every point. Then after a whirlwind tour though the Bible or their claim (usually someone else's book or documentation; even though you’ve refuted each point they come back with. "Surely, with all of that you can see there’s something there." or "You can't ignore all that evidence."