God is the same... but look how things have changed.. Jesus said if you lust after a woman in your heart its just as bad as actually doing it.. it was also said eye for eye, now Jesus says to love your neighbor.... Law has been fulfilled... God is the same, but these things are obviously different.
I would argue that the Moral Law, or Ten Commandments, is further explained in the New Testement. An example is the Ten Commandments say, "Thou shalt not murder," and the New Testement clarifies that hating your brother is the same as murder.
The Mosiac Law, the civic laws of Isreal, contained the "eye for an eye" and were given for an entirely different purpose.
Remember, the Ten Commandments are the only laws written with God's own finger and spoken audibly to Isreal by God Himself.
Christ did fulfill the law that says, "The wages of sin is death," when He died in our place, BUT that doesn't mean that it is now acceptable to break the Moral Law. It only means that our penalty was taken away and replaced, if we choose, with the free gift of salvation.