First....what's your understanding of the word "desolate" (in "He shall make it desolate")? And what do you believe is the noun form "the desolate" ?
What's significant about this is this---and for the overspreading of abominations he shall make it desolate
Obviously then it apparently means what it says. For the overspreading of abominations shall make the sacrifice and the oblation desolate, to cease. Try as I may, I just can't fit Christ into this passage. It makes no sense if Christ is meant in this verse.
shabath
shaw-bath'
a primitive root; to repose, i.e. desist from exertion; used in many implied relations (causative, figurative or specific):--(cause to, let, make to) cease, celebrate, cause (make) to fail, keep (sabbath), suffer to be lacking, leave, put away (down), (make to) rest, rid, still, take away.
This is the word translated as cease in the KJV. One of the defs is this---cause (make) to fail
Let's see how that might work with this verse.
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 fail, and for the overspreading of abominations he shall make the sacrifice and the oblation desolate, even until the consummation(end), and that determined shall be poured upon the desolate.
desolate is meaning the following according to Strong's
shamem
shaw-mame'
a primitive root; to stun (or intransitively, grow numb), i.e. devastate or (figuratively) stupefy (both usually in a passive sense):--make amazed, be astonied, (be an) astonish(-ment), (be, bring into, unto, lay, lie, make) desolate(-ion, places), be destitute, destroy (self), (lay, lie, make) waste, wonder.
But unless one is also interpreting Daniel 9:27 with the help of Daniel 7, Daniel 8, Daniel 11, and Daniel 12, not to mention, passages in the NT as well, such as Revelation 13, for example, how is one expected to ever grasp what is meant by desolate in this verse in question? It's a big waste of my time and everyone else's time, if any of us try and bring any of those other chapters in Daniel mentioned above, into the discussion, the fact past Commentators have already convinced many that most of those chapters are speaking of things already fulfilled in history.