No, Christianity is explicitly anti-rational "And my speech and my message were not in plausible words of wisdom, but in demonstration of the Spirit and of power, that your faith might not rest in the wisdom of men but in the power of God". As Celsus said, the Christians laid down rules which said that, "Let no one come to us who has been instructed, or who is wise or prudent (for such qualifications are deemed evil by us); but if there be any ignorant, or unintelligent, or uninstructed, or foolish persons, let them come with confidence."
And no, Christianity is not a moral system whatsoever. Morality or living one's life in this world is quite irrelevant. So long as you "believe" you are absolved of all wrong doing in this life. It's a salvation system. The NT spends far more time talking about the importance of belief than in promoting a moral code of any significance.
"Science assumes we can discover the rational laws upon which the universe is based, and that those laws will be consistent."
There is nothing 'rational', nor 'consistent', Christians claim regarding laws governing anything, considering Mosaic law was overthrown by Jesus.