
I'm a little teapot...
As Bertrand Russel put it, the burden of proof does not rest with the skeptic, but the proponent.
If I were to suggest that between the Earth and Mars there is a china teapot revolving about the sun in an elliptical orbit, nobody would be able to disprove my assertion provided I were careful to add that the teapot is too small to be revealed even by our most powerful telescopes. But if I were to go on to say that, since my assertion cannot be disproved, it is an intolerable presumption on the part of human reason to doubt it, I should rightly be thought to be talking nonsense. If, however, the existence of such a teapot were affirmed in ancient books, taught as the sacred truth every Sunday, and instilled into the minds of children at school, hesitation to believe in its existence would become a mark of eccentricity and entitle the doubter to the attentions of the psychiatrist in an enlightened age or of the Inquisitor in an earlier time.
If we have no reason to believe it is there—if it contributes nothing to our theories and does not give sensible evidence for its own existence—we ought at least to refrain from believing that it exists, or more probably assert its non-existence. (For those who haven’t caught on, the “razor” in the title is an allusion to Occam’s own shaving implement.)

The Benoist XIV, ca 1913.
We have no more reason to believe that the universe makes sense without a God than we have reason to believe that there is a china teapot orbiting between Earth and Mars. And, as Bertrand Russel says, we have no good reason to believe that.
Therefore, we must entertain at least as much skepticism of the “scientific” atheism as that atheism entertains of of teapots. Here Christianity takes the position of the skeptic. The burden of proof lies elsewhere.
David,
I agree that it is more reasonable to believe that God exists than the alternative. However, why does there need to be a burden of proof if both parties agree that a premise cannot be proven?
I think you have a very good point about the teapot, and I like your subtle hook to an interesting Smithsonian piece about the first airline whose plane shares part of it’s name with me.
To some degree it’s not a question of reasonableness, but of one’s default intellectual position. For example, in the U.S. court system, a citizen is considered innocent until proven guilty. So, should God’s existence be assumed until it is shown to more reasonable to believe otherwise, or should God’s non-existence be assumed until the other side is shown to be more reasonable? Which is the proper default position?
This precedes, to some degree, a discussion of which is more reasonable.