Yes, Virginia, the New Covenant superseded the Old Covenant.

 Matthew 24;

 1 And Jesus being come out of the temple, went away. And his disciples came to shew him the buildings of the temple.  2 And he answering, said to them: Do you see all these things? Amen I say to you there shall not be left here a stone upon a stone that shall not be destroyed. 

Ver. 2. Do you see all these things? Examine again and again all this magnificence, that the sentence of heaven may appear more striking. — A stone upon a stone. We need not look on this as an hyperbole. The temple burnt by the Romans, and afterwards even ploughed up. See Gregory of Nazianzus, orat. ii. cont. Julianum; Theodoret, lib. iii. Histor. chap. xx. &c. (Witham) — Julian the apostate, wishing to falsify the predictions of Daniel and of Jesus Christ, attempted to rebuild the temple. For this purpose, he assembled the chief among the Jews, and asking them why they neglected the prescribed sacrifices, was answered, that they could not offer any where else but in the temple of Jerusalem. Upon this he ordered them to repair to Jerusalem, to rebuild their temple, and restore their ancient worship, promising them his concurrence in carrying on the work. This filled the Jews with inexpressible joy. Hence flocking to Jerusalem, they began with scorn and triumph to insult over the Christians. Contributions came in from all parts. The Jewish women stripped themselves of their most costly ornaments. The emperor opened his treasures to furnish every thing necessary for the building. The most able workmen were convened from all parts; persons of the greatest distinction were appointed to direct the work; and the emperor’s friend, Alipius, was set over the whole, with orders to carry on the work without ceasing, and to spare no expense. All materials were laid in to an immense quantity. The Jews of both sexes bore a share in the labour; the women helping to dig the ground, and carry away the rubbish in their aprons and gowns. It is even said that the Jews appointed some pick-axes, spades, and baskets, to be made of silver, for the honour of the work. Till this time the foundations and some ruins of the walls had remained, as appears from St. Cyril, in his catechism xv. n. 15, and Eusebius, Dem. Evang. lib. viii. p. 406. These ruins the Jews first demolished with their own hands, thus concurring to the accomplishment of our Saviour’s prediction. They next began to dig a new foundation, in which many thousands were employed. But what they had thrown up in the day, was, by repeated earthquakes, the night following cast back again into the trench. When Alipius the next day was earnestly pressing on the work, with the assistance of the governor of the province, there issued, says Ammianus Marcellinus, such horrible balls of fire out of the earth near the foundations, as to render the place inaccessible from time to time to the scorched workmen. And the victorious element continuing in this manner obstinately bent, as it were, to drive them to a distance, Alipius, thought proper to abandon, though reluctantly, the enterprise. This great event happened in the beginning of the year 363, and with many very astonishing circumstances is recorded both by Jews and Christians. See the proofs and a much fuller account of this astonishing event, which all the ancient fathers describe as indubitable, in Alban Butler’s life of * St. Cyril of Jerusalem, March 18th. Thus they so completely destroyed whatever remained of the ancient temple, that there was not left one stone upon another; nor were they permitted by heaven even to begin the new one. (Maldonatus)

Once the Temple was destroyed, the Jews had no Priesthood to offer Sacrifices in the one place on earth such ceremonies were permitted - The Temple in Jerusalem.

Thus, it is ineluctable that The new Covenant superseded the Old Covenant because the Holy Holocaust of the New Covenant is offered daily in every part of the world and The Jews no longer have a Temple or Priests to offer sacrifices.

* 

March 18.—ST. CYRIL OF JERUSALEM.

CYRIL was born at or near the city of Jerusalem, about the year 315. He was ordained priest by St. Maximus, who gave him the important charge of instructing and preparing the candidates for Baptism. This charge he held for several years, and we still have one series of his instructions, given in the year 317 or 318. They are of singular interest as being the earliest record of the systematic teaching of the Church on the creed and sacraments, and as having been given in the church built by Constantine on Mount Calvary. They are solid, simple, profound; saturated with Holy Scripture; exact, precise, and terse; and, as a witness and exposition of the Catholic faith, invaluable. On the death of St. Maximus, Cyril was chosen Bishop of Jerusalem. At the beginning of his episcopate a cross was seen in the air reaching from Mount Calvary to Mount Olivet, and so bright that it shone at noonday. St. Cyril gave an account of it to the emperor; and the faithful regarded it as a presage of victory over the Arian heretics. While Cyril was bishop, the apostate Julian resolved to falsify the words of Our Lord by rebuilding the Temple at Jerusalem. He employed the power and resources of a Roman emperor; the Jews thronged enthusiastically to him and gave munificently. But Cyril was unmoved. " The word of God abides," he said; "one stone shall not be laid on another." When the attempt was made, a heathen writer tells us that horrible flames came forth from the earth, rendering the place inaccessible to the scorched and scared workmen. The attempt was made again and again, and then abandoned in despair. Soon after, the emperor perished miserably in a war against the Persians, and the Church had rest. Like the other great bishops of his time, Cyril was persecuted, and driven once and again from his see; but on the death of the Arian Emperor Valens he returned to Jerusalem. He was present at the second General Council at Constantinople, and died in peace in 386, after a troubled episcopate of thirty-five years.

Reflection.—"As a stout staff," says St. John Chrysostom, "supports the trembling limbs of a feeble old man, so does faith sustain our vacillating mind, lest it be tossed about by sinful hesitation and perplexity."