No, Jesus is talking about the perpetual sacrifice, the holy Euchrist, not temple animal sacrifice. Jesus called that a discusting worthless act. Not only that, Jesus said the temple would never be rebuilt, not a stone of it. even what's left of Herods stones, the wailing wall is going to come down.
You said -- "Jesus said the temple would never be rebuilt, not a stone of it."
He did not say it would not be rebuilt, what He said was that one stone would not be left standing upon another -- that's how thorough the destruction would be -- and it was.
The Tribulation Temple that will be in place, at that Tribulation time is also not the complete Temple area, because part of it is occupied by the Gentiles. So, it's cut back in size and dimension (as far as the area covered), by the description we are given.
Furthermore, as far as Catholicism is concerned, they have *never* recognized the coming of Christ to sit upon the Throne of David, in Jerusalem, ruling as a King over "national Israel" and as the King of Kings over the nations of the world. And they see that the Jews have no part in the coming Kingdom (apart from being a part of the Catholic church itself, that is...).
What is described in other passages is the "taking up" of the body of believers, to meet Christ "in the air" and then, leaving the Tribulation period to the Jews and the other Gentile nations -- absent the church (as the body of believers). It's during this time -- that the Apostle Paul describes (at the end) that *all Israel* will be saved -- when her Messiah returns to rule and reign over the nations.
And furthermore, Ezekiel describes a "Millennial Temple" that will be built during the reign of Christ -- as his description of the Temple has fit no other period of time, and it's given for the "time of the Kingdom" at the return of Christ and His Millennial reign on this earth.
You may have your Catholic theology, but it does not match the book of Daniel, the book of Ezekiel, of Isaiah, of Revelation and other books of the New Testament.
Here's what Jesus said about the Temple and the stones not left standing one upon the other...
Matthew 24:1-3
1 Then Jesus went out and departed from the temple, and His disciples came up to show Him the buildings of the temple.
2 And Jesus said to them, "Do you not see all these things? Assuredly, I say to you, not one stone shall be left here upon another, that shall not be thrown down."
3 Now as He sat on the Mount of Olives, the disciples came to Him privately, saying, "Tell us, when will these things be? And what will be the sign of Your coming, and of the end of the age?"
And then the rest of the discourse, I've already posted, where Jesus tells about that coming "abomintion of desolation" in the holy place, which was the Temple in the future.
So, Jesus was saying that this Temple was nothing, it would be destroyed and then, He moves forward, in His explanations to His disciples and tells of the future time, during that coming Tribulation (of which there is no other time period on earth like it, according to Jesus) -- and it's during that time -- at the midpoint, that the Temple sacrifices are stopped and the "abomination of desolation" happens inside that Temple.
Regards,
Star Traveler