The Law is the Light and whoever is not under this Light is in Darkness. With the advent of Christ the same Light is even brighter. This means that the Law is still valid, and we are supposed to follow it even better. However, because of the advent of Christ, the true meaning of much of the symbology is revealed and fulfilled - circumcision, Sabbath, Passover, breaking bread etc. While it is still true that one should not eat unclean animals, the unclean animals themselves have been made clean, and not the Law abolished even in this regard.
So interpretation of the Law here is most important, and that would be why the admittance into the Kingdom is placed before the Law.
"The Law and the Prophets were proclaimed until John. Since that time, the good news of the kingdom of God is being preached, and everyone is forcing his way into it. It is easier for heaven and earth to disappear than for the least stroke of a pen to drop out of the Law."
This being said, I think Paul was entirely wrong when he said the Law was a shadow. Maybe it is supposed to say that the Law pre-shadowed the things to come, but the Law itself is in all regards light. Alternatively of course, the Law is a shadow, and is still valid but only as a shadow, a testimony of things to come. So here the Jews have stumbled, still clinging to the Shadow, but they see it with the wrong light, and the things it testifies of regarding the future they interpret wrongly.
I find it odd. Because the Law is a testimony from God it cannot be called 'shadow'. It is light.