The word 'abomination' is translated from the Hebrew 'shiqquwts' [Strong's 8251]. It is a masculine noun that means "a disgusting thing, a filthy thing; an abomination, an idol, a detestable thing. The word is used to refer to idols themselves or anything associated with idolatrous practices. Because idol worshippers are wholly identified with idols, they, too, are detestable."
In the N.T., the word 'abomination' is translated from the Greek 'bdelugma' [Strong's 946]. "By a comparison of Mat 24:15f; Mk 13:14 with Luke 21:20f, it is plain that the expression 'the abomination of desolation' or that which makes desolate, refers to the Roman ensigns, and especially the eagle which was carried at the head of every Roman legion. Desecrating the Jewish places of worship, they themselves later became objects of worship; therefore, they are called an abomination. An abomination is anything that loosens the connection of man with God referring to sinful actions and sinful men."
Source #2: Believer's Study Bible
In the O.T., 'abomination' referred to idolatry or detestable practices (Deut. 29:16, 17; 1 Kin. 11:6, 7; 2 Kin. 16:3; 23:13; Ezek. 8:9-18).
'Of desolation' refers to the effect produced by the abomination (something that is deserted or left desolate).
C. The Interpretation
Source #1: Believer's Study Bible
"The terminology 'abomination of desolation' is found in Dan. 9:27; 11:31; 12:11. This text is one of the clearest examples in Scripture of a prophecy with multiple fulfillment.
(1) The first reference is to Antiochus (IV) Epiphanes, who reigned in Syria from 175 to 164 B.C. Antiochus halted the sacrifices in the temple and defiled the temple by raising up an idol, a pagan altar to Zeus.
(2) Jesus seems to have in view, at least typically, the near destruction of Jerusalem and the temple in A.D. 70 by the Roman general Titus. That Christians of that time so understood this prediction is evidenced by the fact that many followed the command of vv. 16-18 [Matt 24] and fled to the mountains during the Roman invasion and siege.
(3) Daniel and Jesus, and even Paul (cf. 2 Thess. 2:2-4) and John (cf. Rev. 13:14, 15), see a future eschatological and ultimate fulfillment in the actions of the Antichrist during the Tribulation (Rev. 6-19), also identified as Daniel's Seventieth Week (Dan. 9:24-27).'"
As I said, I think a revived Roman empire fulfillment, rather than Islamic fulfillment, best fits the entirety of biblical prohecy. Ishmael and his progeny seem to receive minor attention, especially in Daniel's interpretation of the future kingdoms and Israel's relationship with God.
I abhor persecution of Christians by Islam, or any other religion or non-religion (atheism/communism) for that matter, but such hostility towards Jesus and His followers is not ipso facto a basis for identifying them with the prophecies concerning antichrist. The Bible tells us to expect persecution from a variety of sources -- worldwide.
As to the destruction of Jerusalem, remember that a careful reader can parse the Little Apocalypse as to which event (the A of D/eschatological event) or the 70 AD event, each clause refers to! This was done as an exercise in my own NT classes many years ago!
About the 70 AD event, Jesus can be somewhat lackadaisical...hope it isn't in the winter or on the Sabbath, implying that one might just wait for better weather or another day of the week...and then one is just told to leave the city, and let him that is not in the city not enter it...everything is cool, relaxed!
But the A of D is another thing. The believer is ORDERED to panic! He is told to flee for his life, not even come back to get his coat or credit cards, just run for his life to any place in the world he could get to! When I see the Dome of the Rock (the visible A of D) that is just what I want to do! Get out of there, and back to alabammy!