I know it’s a simplistic and gutless answer that probably sidesteps this question’s more
relevant applications but …
Yes. Why should he be any different.
Some call him a prophet. Yet*** his claims about himself*** do not come close to:
the claims of Jesus:
“I am the bread of life” (John 6:35,48,51).
“I am the light of the world” (John 8:12).
“I am the door of the sheep”(John 10:7,9).
“I am the good shepherd” (John 10:11,14).
“I am the resurrection, and the life” (John 11:25).
“I am the way, the truth, and the life” (John 14:6).
“I am the true vine” (John 15:1,5).
How anyone could hear or see these claims and then still deny that they were claims to deity is a great mystery. For example, how could anyone except God Himself claim to be the way, the truth, and the life?
Well, maybe a madman might make such a claim, or maybe a gross scam artist of some kind. But no honest, sane person could ever do so—unless the claim were true!
That is the choice. Either Jesus Christ was mad or wicked—or else He truly is the way, the truth, and the life. He is the one way to reach God, the incarnate truth about God, and the only real giver of eternal life with God. One will come to the same conclusion as he examines each of these seven great “I Am” claims.
icr.org/article/500/* < excerpted from this article ^ that I agreed with and seems consistent with Catholic teaching. There’s no Imprimatur or Nihil Obstat - but the author is a PhD.

**
Mohammed didn’t (as far as I know) claim to be that Messiah. And whatever he may have taught about Jesus in his day … it seems that Muslims do not believe that Jesus died on the cross at all
(correct me if anyone here should belong to a sect of Islam that does believe Jesus is the Messiah and died on the cross … I’ve never heard of such).
As per the suffering servant aspect of the Messiah’s mission we note:
Then, there are 21 (i.e., 3x7) "I am"s in the Book of Exodus, including the divine answer to Moses, already mentioned, “I AM THAT I AM” (Exodus 3:14).
The wonderful Book of Psalms contains seven "I am"s that speak prophetically and sadly of the future sufferings of the incarnate Christ. These are:
“I am a worm, and no man” (Psalm 22:6).
“I am poor and needy” (Psalm 40:17).
“I am . . . a stranger unto my brethren” (Psalm 69:8).
“I am full of heaviness” (Psalm 69:20).
“I am poor and sorrowful” (Psalm 69:29).
“I . . . am as a sparrow alone upon the house top” (Psalm 102:7).
“I am withered like grass” (Psalm 102:11).
These all occur in psalms that are specifically known to be Messianic psalms (thus referring to Christ) because they are quoted as such in the New Testament.
Jesus was never deceived by the devil. But even He was tempted.
Per Mohammed: He got God’s number right. ONE. In a world around him that was
polytheistic. He did not teach nor understand that God is ONE as a Trinity. One Trinity.
" … and Mohammed was God’s prophet" < is a phrase that often (always?) follows Islamic proclamation that God is one.
A person who* teaches true things about God to those who have not known those truths *might be considered a “prophet” of sorts to those people. Yet people like St. Peter and the apostles are not referred to as prophets … in Christianity this term means pre-Christ or pointing toward Him in some sense (though OT holy men who corrected the people of their time and did not so much prophesy the future might be considered here).
And Pope Benedict, though he upset people for saying so, correctly remarked that by the time Mohammed was putting his (true part) of his teachings out there some 600 years post-Christ, there was " … nothing new in them."
Deceived by the devil? If so how? - St. John warns us not to trust every spirit but to test them to see if they come from God. Many apostles in their writings warn of false teachers and “prophets” to come (who should not believed). And some are “anti-Christ”.
1 John 2:21 I write to you not because you do not know the truth but because you do, and because every lie is alien to the truth.
22 Who is the liar? Whoever denies that Jesus is the Christ. Whoever denies the Father and the Son, this is the antichrist.
23 No one who denies the Son has the Father, but whoever confesses the Son has the Father as well.
24 Let what you heard from the beginning remain in you. If what you heard from the beginning remains in you, then you will remain in the Son and in the Father.
25 And this is the promise that he made us: eternal life.
26 I write you these things about those who would deceive you.
Whether Mohammed denied Christ … or understood Him only partially … and shared just that partial understanding … are things I don’t know and can’t judge.
Islam as it exists in our time does not teach the one God as a Trinity. Nor Jesus as the Son, nor God as a Father, or of the person of the Holy Spirit. John was writing of supposed “Christians” of his time that denied basic aspects of the faith and taught falsely.
The devil would contradict Jesus’ “I am” claims (in deceiving humans – he knows well the truth of it). He would have worship himself that belongs to God. Short of that he would try to deceive us all to deny authentic and true worship to God … and deny Jesus as the Christ, the son of God, etc.etc.
So my YES in line two stands. But it is not a dismissive yes without scrutiny.
More pertinent to me is –
"Am I deceived by the devil?" Which is a good question to ask oneself, rather like having one’s health checked even when one feels healthy.
