Technically Muslims should accept Jesus as the Christ, as they are required to obtain and know the Injil, which is the true Christian Gospel.
Some even search for it; because they understand this requirement compels them too.
But generally this is limited to rich Arabian Muslims from the smaller Arab nations.
The condition of the world is not something that can threaten the truth of the Gospel; the world is not of God; it is of man.
Furthermore in answer to your question, there are these scriptures:
2Co 4:3 But if our gospel be hid, it is hid to them that are lost:
2Co 4:4 In whom the god of this world hath blinded the minds of them which believe not, lest the light of the glorious gospel of Christ, who is the image of God, should shine unto them.
2Co 4:5 For we preach not ourselves, but Christ Jesus the Lord; and ourselves your servants for Jesus' sake.
2Co 4:6 For God, who commanded the light to shine out of darkness, hath shined in our hearts, to give the light of the knowledge of the glory of God in the face of Jesus Christ.
2Co 4:7 But we have this treasure in earthen vessels, that the excellency of the power may be of God, and not of us.
2Ti 4:3 For the time will come when they will not endure sound doctrine; but after their own lusts shall they heap to themselves teachers, having itching ears;
2Ti 4:4 And they shall turn away their ears from the truth, and shall be turned unto fables.
2Ti 4:5 But watch thou in all things, endure afflictions, do the work of an evangelist, make full proof of thy ministry.
In 2Co 4:6 "in the face of Jesus Christ";- that is Gospel language, which you will not understand without proper testimony; which is something you are not asking for me for, presumably because you do not seek the Kingdom, even though the question of whether the Kingdom is real and somewhere inside your world is a very real question that is at least somewhat valid. The complete denial and forsaken hope of the chance to search for and find the Kingdom of God, is the kind of pessimism that is the exact description of the Anti-Christ given by John (in 1 John chapter 4- quote below).
1Jn 4:3 And every spirit that confesseth not that Jesus Christ is come in the flesh is not of God: and this is that spirit of antichrist, whereof ye have heard that it should come; and even now already is it in the world.
this is not a description of the Jesus in History, Jesus Christ here means the son of God on earth right now ("is come in the flesh); the members in particular of the church community (more specifically: how they are to be known (of which the deed is an important component)).
Your questions are a style of sophistry that is essentially a waste of time, your not going to find out about something by trying to attack it from a fringe perspective with no curiosity to sample the cogency of what you attack. I'm not trying to convince you to be curious, I just want to you to understand why I might just ignore futile retorts that just require me to forge defenses and shields against a force whose only interest is to conduct sabotage while side-stepping and ignoring all exposure to one's own ignorance and miss-understanding: because it is clear to me, you are not interesting in sampling an understanding in order to deconstruct and test; you are interested in presumptuous refutation; and simply disarming ignorance is not my aim on the internet, I wish to vanquish it with fire.