Obviously, these things would have to be meaning in the literal sense for certain if these things are involving the first century. Which means you then encounter this problem at the time since the timing would be way before 70 AD ever arrives.
Matthew 24:15 When ye therefore shall see the abomination of desolation, spoken of by Daniel the prophet, stand in the holy place, (whoso readeth, let him understand: )
16 Then let them which be in Judaea flee into the mountains:
17 Let him which is on the housetop not come down to take any thing out of his house:
18 Neither let him which is in the field return back to take his clothes.
19 And woe unto them that are with child, and to them that give suck in those days!
20 But pray ye that your flight be not in the winter, neither on the sabbath day:
21 For then shall be great tribulation, such as was not since the beginning of the world to this time, no, nor ever shall be.
No one at the time was fleeing to the mountains. This passage says that when one sees the AOD, they are to flee to the mountains, no time to even pack, get it now before it's too late. If the AOD was animal sacrificing continuing, one would have to be plain blind back then to not notice at the time, that animal sacrificing continued. Keeping in mind, the text says when one sees the AOD they are to then flee to the mountains at that time.
Nor was there great tribulation, such as was not since the beginning of the world to this time, occurring during this era of time involving Christ's death and resurrection. And I can't even see any of these things recorded in Matthew 24:15-21 applying to 70 AD, let alone the time period you are trying to apply them to, for some of the reasons I mentioned.