There are two specific differences between Islam and other religions in this regard. First, while people from other religions naturally view their prophets or originators of their religion in high esteem, there is a difference between the theological nature of these artificers and the degree to which they are worshipped today. I am sure that if you ask devout Christians about what they think about Jesus, they will indeed tell you that he was the son of God and a perfect moral example. However, the intensity to which he is worshipped by Christians, and the vigour they feel to follow his example and defend him from malice, are for the most part comparatively low. Christians may get upset when Jesus is mocked, or when he is the motif of what they see as vulgarised art. They don't tend to go out any kill people for it. Not anymore. Most Christians just don't take their religion that seriously anymore - a result of the enlightenment and the influence of secular progress - and hence the importance of Jesus in their everyday lives has declined significantly.
I you are comparing a light "enlightened" Christian with a fundamuntalist "bacward" Muslim, than indeed very often one is going to be more strict than the other. I think you are overexagerating the place of Mohammad within muslims and underestimating that of JC within Christians. You are also forgetting about the influence of culture and societal environment on people behaviour towards their religion. Christians living in less open and backward societies are much less tolerant about "missing" with JC than Christians in Europe where people are used to free speach. I don't think it would be wise for you to go and shout "JC is a f**head" in front of a Church in say Manilla or Kigali.
Compare that to Muslims, where a majority of them in most countries, even in Europe, think that insulting Mohammed should get you killed. And it is not just an empty threat, we have seen countless occasions of death and violence to avenge the prophet. Mohammed is constantly present in many Muslim minds, as witnessed by their own statements and admissions. His name is the most common name in the world. This is an entirely different degree of worship.
That is not true, but a fantasy unless you show us a hard evidence. And Mary is the most common female name in many Christian countries, so what?
And I don't know if you realise how wrong your last sentence is: Muslims do not worship Mohummad, he is just a man for them, maybe the best human ever, but a human nevertheless. Chirtians do hoewever worship JC.
Second, the specific nature of the religious leader matters. What would happen if a Christian follows the example of Jesus to the fullest extent? He would become a pacifist hippy! When attacked, he would turn the other cheek. He would forgive the attackers. He may hold some questionable morals and backward thinking. But the character of Jesus is not that of a conquering warlord.
What would happen if a Muslim follows the example of Mohammed to the fullest extent? We can see the answer in pretty much everything al-Baghdadi does. He kills infidels, has sex slaves, and built a caliphate after waging war and performing an ethnic cleansing, just as Mohammed allegedly did.
that is your own interpretation of both M and JC. Millions of other people had a different one and countless Christians killed raped and enslaved thinking that they were acting as JC would have wanted them to do and many millions of Muslims spent their life praying and doing good deeds and lived peaceful lives hearding goats like hippies thinking that they were acting as M would have wanted them to do. What makes you think you know better about M and JC true life style?
It is historically debatable whether Mohammed even existed! That is not the point. My description of him is taken from the Islamic sources. They represent how Muslims think about him. The historicity of the man is irrelevant to how his legend is perceived.
First of all, it is not debatable at all whether Mohammed existed! at least it is much less debatable than my own as there is more historical evidence about him than about me. You are a history professor, I am surprised you state such thing
What is debatable however is your description of him being a rapist having sex slaves etc. I 'd like to see the "Islamic sources" your claiming to take your description from.
This point is often overblown. Mohammed clearly viewed Muslim women as secondary citizens. I don't think it is necessary to cite the dozens of passages in the koran and the hadith which attest to the victimisation and oppression of women. It could well be that women had even fewer rights before him (though that is more or les speculation, as the sources don't offer much insight into the matter), but Mohammed was not a champion of women's rights, even by the standards of the time. That is not going into how he personally kept non-Muslim girls and women as sex slaves, a practise also justified in the koran.
I notice that you label "speculation" things that do not fit your opinion on the matter, and facts taken from "Islamic sources" thigs that do. That is very often a bad way of seeking the truth about a matter.
That being said, if you are arguiing that Islam in the days of Mohammad held women in a lower place compared to men by today's standard, I fully agree with you. What I don't understand is what makes you think their situation did not improve back than when Muhammad made female infanticide (a wide spread practice in 6th century Arabia) a capital crime, oulawed inheretence of spouses (free women were inhereted when thier husband died), made girls have a right to heritage, etc. Could he have done better? well sure, but it doesn't make sense to say Mohammed was not a champion of women's rights, even by the standards of the time.
As for the last sentence, I need you to show me evidence, as I do not know of any sex slave owned by Mohammad. Slavery however was indeed not outlawed by Islam, well at least not clearly which is indeed shameful but not that surprising in the 6th century.
I find both these examples contemptable. But clearly those French people who celebrate Napoleon do not worship him like a religious prophet.
No, not like a religious leader but like a military genius

An easier example for you is maybe Abraham. Abraham has the good sigularity of being "worshiped" by all three monotheist religions, named abrahamic for that very reason. Now if you think about the man by todays standard, you'd realize that Muslims, Jews and Christians alike worshiping a man who was about to slaughter his only son because he was hearing voices!!! By today's standard, and even by the standard of the time, he would be at best labeled a fool, more likely a psychopath. Now do you think, that is to say Muslims, Jews and Christians are worshiping a psycopath and therefore should be kept under surveillence?