The Abomination of Desolation spoken of in both Matthew and Mark is specifically in reference to “End Time” perspectives. Are there any Christian teachings that the Dome of the Rock is the “Abomination of Desolation”?
I'm not sure I'd limit the application "abomination of desolation" to a single event/place/thing. Many scholars believe that the references in the book of Daniel (Dan. 9:27; 11:31; 12:11) refer to the time of Antiochus IV Ephiphanes who made an unclean sacrifice in the Jewish temple (among other terrible things) in the 2nd century BC.
However, in the New Testament (Matt. 24:15; Mk. 13:14) this would be a past event, so would be applied to something else. If you look at the parallel passage in Luke you'll find something interesting:
And then notice Mk. 13:30:
So if you take "generation" to mean the people living at that time, then the application here would refer to the time when Jerusalem was surrounded by armies sometime in the first century. And in fact, we find that the Roman armies did so and destroyed the entire city and temple (70 AD). The Romans were an abomination that made the city desolate.
Multiple applications seem to make sense because Antiochus IV Epiphanes matches so remarkably well to the descriptions in Daniel, yet Jesus' application had to be different because Antiochus was already past. They were both abominations of desolation.
Now, as to the "Dome of the Rock" theory. It is interesting that the Dome of the Rock only exists because the Romans destroyed the temple in 70 AD, so perhaps, in a sense an application of "abomination of desolation" could be made here.
The Scriptures in Daniel and Matthew/Mark/Luke seem to specifically point to the applications I've cited above, but certainly a Jew would view the mosque as "an" abomination of desolation due to its location.
In Daniel 9, the 70 weeks are 70 weeks of years, where each day is a year. The 70 weeks would not be completed until
and this has not happened yet. However, the first 69 weeks have
When Jesus claimed to be the Messiah and was crucified, and the Romans destroyed the city.
The last week, or seven years, is understood to be the 7 years of tribulation. At the end of tribulation, Christ will come and accomplish Dan. 9:24 and put an end to the abomination and the one who set it up. The Dome of the Rock was completed around the year 691AD. Jesus says "then let those who are Judea flee to the mountains". The Jews were in Babylon at that time. Jesus also says that the abomination will cause desolation, which the Dome itself does not. Given these, I would say no, the Dome of the Rock is not "the abomination of desolation".
Something to consider, in Revelation 13, we read:
The image that the beast causes man to build and worship, he will give it the ability to speak and to kill those who do not worship it. Also this supposedly takes place amidst tribulation and end times, and the Jews will (currently are) dwelling in Israel, which they haven't since 70AD. Perhaps this "image" is it. It does not say where it will be built, but if the beast is the false messiah, it could very possibly be at the temple mount.