The TYPE of desolation from overspreading of abominations which the Daniel Scripture is talking about is not... about a destruction of the temple nor Jerusalem. It's about the setting up of an 'abomination', which per God's Word means an idol.
The latter part of the Dan.9:27 verse is about an idol... desolating the temple, not a physical destruction of the temple like in 70 A.D. by the Romans.
Dan 9:27
27 And he shall confirm the covenant with many for one week: and in the midst of the week he shall cause the sacrifice and the oblation to cease, and for the overspreading of abominations he shall make it desolate, even until the consummation, and that determined shall be poured upon the desolate.
(KJV)
That's why we cannot try to 'dump' the Daniel Scripture that defines that idol abomination being the desolation which causes... the daily sacrifice and oblation to cease...
Dan 8:9-13
9 And out of one of them came forth a little horn, which waxed exceeding great, toward the south, and toward the east, and toward the pleasant land.
10 And it waxed great, even to the host of heaven; and it cast down some of the host and of the stars to the ground, and stamped upon them.
11 Yea, he magnified himself even to the prince of the host, and by him the daily sacrifice was taken away, and the place of his sanctuary was cast down.
12 And an host was given him against the daily sacrifice by reason of transgression, and it cast down the truth to the ground; and it practised, and prospered.
13 Then I heard one saint speaking, and another saint said unto that certain saint which spake, How long shall be the vision concerning the daily sacrifice, and the transgression of desolation, to give both the sanctuary and the host to be trodden under foot?
(KJV)
You see, the "sanctuary" there in Dan.8:13 is standing, for in Rev.11 we have that same idea of the Gentiles trodding the outer court for a period of 42 months, the same period the dragon reigns per Rev.13.
The desolation there is about a specific "transgression", that being an idol setup inside the temple in the "holy place" which Jesus foretold in Matthew 24. The Romans never... did any of that, because per Josephus the Romans in 70 A.D. tried to capture control of the temple but it burned down before they could capture it. So they did NOT... desolate the temple by that "transgression" Daniel shows which causes the end of the daily sacrifice and oblation.
Dan 11:21-24
21 And in his estate shall stand up a vile person, to whom they shall not give the honour of the kingdom: but he shall come in peaceably, and obtain the kingdom by flatteries.
22 And with the arms of a flood shall they be overflown from before him, and shall be broken; yea, also the prince of the covenant.
23 And after the league made with him he shall work deceitfully: for he shall come up, and shall become strong with a small people.
24 He shall enter peaceably even upon the fattest places of the province; and he shall do that which his fathers have not done, nor his fathers' fathers; he shall scatter among them the prey, and spoil, and riches: yea, and he shall forecast his devices against the strong holds, even for a time.
(KJV)
There's the Dan.9:27 'covenant' that "little horn" "vile person" will make, it's that "league made with him" by a certain small group of people (leaders in Jerusalem).
Dan 11:31-35
31 And arms shall stand on his part, and they shall pollute the sanctuary of strength, and shall take away the daily sacrifice, and they shall place the abomination that maketh desolate.
32 And such as do wickedly against the covenant shall he corrupt by flatteries: but the people that do know their God shall be strong, and do exploits.
33 And they that understand among the people shall instruct many: yet they shall fall by the sword, and by flame, by captivity, and by spoil, many days.
34 Now when they shall fall, they shall be holpen with a little help: but many shall cleave to them with flatteries.
35 And some of them of understanding shall fall, to try them, and to purge, and to make them white, even to the time of the end: because it is yet for a time appointed.
(KJV)
And there emphatically, is what the Dan.9:27 desolation by the overspreading of abominations is, the placing of an abomination that makes desolate! THAT's what our Lord Jesus was talking about in Matthew 24 and Mark 13 with the "abomination of desolation", an IDOL abomination that causes the temple to become SPIRITUALLY desolate in false worship.
Notice how that Dan.11:35 verse declares the timing for that event, being for a time appointed at the end (i.e., end of this world).
Dan 12:9-11
9 And he said, Go thy way, Daniel: for the words are closed up and sealed till the time of the end.
10 Many shall be purified, and made white, and tried; but the wicked shall do wickedly: and none of the wicked shall understand; but the wise shall understand.
11 And from the time that the daily sacrifice shall be taken away, and the abomination that maketh desolate set up, there shall be a thousand two hundred and ninety days.
(KJV)
That's twice the Daniel Scripture has defined... just what causes the end of the daily sacrifice and oblation in connection with temple service. It's the SETTING UP of an abomination that makes the temple desolate, not the literal destruction of the temple.
Obvioulsy, our Jewish brethren who believe on Jesus of Nazareth as The Christ (Messiah) maybe don't want to think that their other Jewish brethren that still refuse Christ Jesus could fall to such things as building another Israelite temple and bowing to yet another idol abomination setup in a new Israelite temple in Jerusalem.
Yet, that very thing has been... history before in Jerusalem (Antiochus Epiphanes in 165-170 B.C.). But did all the Jews fall to that false worship? NO! That kind of thing raised the faithful among them instead to rebellion, to get rid of those historical idol abominations.
Christ Jesus will destroy that idol abomination setup there for the end at His return. We won't.
What we as Christians, along with our Jewish brethren in Christ Jesus must do, is not... fall into worship of the coming false messiah who is going to be represented by that idol abomination, the "image of the beast" of Revelation 13.
The faithful orthodox Jews in Jerusalem today that have been preparing materials, and the people, for the building of another temple in Jerusalem are thinking to prepare for the True Messiah's return. They don't know God is sending a false messiah first, and in the role of Messiah. But IF... they would only listen to Him through His Son Jesus Christ (Yeshua Messiah), then they too would understand that.
It is bad also that many Christian brethren are not aware of that coming working in Jerusalem, and the SAME kind of false prophets among faithful yet deceived orthodox Jews are performing an equal deception upon deceived Christian brethren that will fall to bow in worship to that coming first false messiah.
So whether a Jewish believer on Yeshua Messiah, or a Christian believer on Jesus Christ, we are all equally in that same boat of warning to not fall in worship of that coming false messiah, the one Christ Messiah will destroy with the brightness of His coming.