It can even be shoehorned into the category "Christian", since "Christ" is its second-place prophet.
This is a popular view but, I'm afraid, even with huge efforts you'll not be able to 'shoehorn' that
Muslims actually revere the entity 'Isa' (Arabic speaking Christians for example call Jesus, Yasu or Yasua) whose attributes are far from those of Christ in orthodox Christianity, imported mainly from 'The gospel of Barnabas', Gnostics, Ebionites, other schismatic sects and Muhammad's own inventions.
In Islamic theology not only Christ is not God, Son or logos in the Christian sense ('the word was with god and the word was god' is anathema in islam, instead Isa was created by allah be him 'Word', quran 5:17 for example states that those who believe Isa was god are unbelievers etc), was not crucified and so on but the icing on the cake is that at the end of time Isa will save Christians...from Christianity (in Sahih Bukhari, Muhammad's vision):
"The Hour will not be established until the son of Mary descend upon you as a ruler, he will break the cross, kill the pigs, and abolish the jizya tax. Money will be in abundance so that no one will accept it [as charity]."
About this ibn Kathir (and other Islamic commentators) wrote: 'During his time Allah will destroy all religions except islam and Allah will destroy Dajjal, the False Messiah'. Isa breaks the cross because it is an insult to claim that one of Allah's prophets could be victimized in such a way, kill the pigs which are a proof of Christian incapacity to follow the right path (anyway no one would need them since all people would have converted to islam) and abolish the Jizya (again all will have become muslims by that time or killed otherwise).
I'm afraid 'Isa' has much less in common with the traditional Christian view on Jesus than thought by many, to claim that they have the Christian Jesus in high esteem is, more or less, to say that atheists do the same with the Jesus of Scriptures (miracles, Resurrection etc taken on board without criticism) for let's say capacity to think 'outside the box' and break to some extent with the existing religious orthodoxy.
Entities are primarily defined by their attributes, I'm afraid the Christian Jesus is not the 'second prophet of islam'.