A magnifique post! I'll offer another perspective, a controversial one, which should not be brought to people in general probably but may be useful when dealing with those hostile to Muhammed.
First I'll say, none of us knew Muhammed, nor any of those who wrote about him after he was gone.
To me, Muhammed is not important really, he didn't know me, I didn't know him. All I have now is the Qur'an, words attributed to the work put forth through someone called Muhammed a long time ago. In Occitan, Muhammed is spelled Baphomet.
The Qur'an is said by many to be authored by Satan. I may know Satan and Satan may know me, but without my very sure or careful awareness, I have no idea if I've ever had dealings with Satan or not. Even if I did, I wouldn't know if he really wrote the Qur'an, even if anything appeared to me and said "I am the Devil and I wrote the Qur'an, I also do lots of bad things".
All that is mainly irrelevant.
So if Muhammed or Baphomet, refers to some evil being, and Satan wrote some graffiti, wrote it in whatever substance you consider most filthy, does it really matter? What matters is what use there may be in the content surely.
If a convicted serial rapist and pedophile covered in tattoos depicting theor crimes and with "Ha Ha Ha" written in between them says to me "2+2=4" should I say "not when you say it, bub! Now you've ruined math!"? Does 2+2=4 become untrue, lose its power?
Bill Cosby supposedly raped a lot of women he drugged. Does it make the Cosby show unfunny? One can't appreciate something much lovable, a performance, regardless of what the character was or was said to have been outside of their role?
Some people move into homes where terrible things have been done in those homes, sometimes they know, sometimes they don't know, but does it make the house defenseless against rain or is it still a functional shelter, albeit with a few ghosts and skeletons in the closet? Does that last joke become unfunny because my breath probably stinks right now from fasting? Nay, surely it was unfunny from the beginning!
What if a monkey comes down from the sky and says "I am God" and then produces a dancing book which says in a book-like accent "Muhammed was a bad bad man, the writer of the Qur'an was a villain! He lied. He stole! He cheated!" should we believe it? Surely, a monkey from the sky calling itself God with a dancing book that talks says so.
Muhammed is similar to everything behind this wall next to me. I have no idea what is going on on the otherside of this wall, anything could be going on outside on the other side of this wall, I think I have more pertinent matters to concern myself with, like what is going on here on my side of the wall. On my side of the wall are resources, technologies and books, materials, elements, watet, food, a body, my body! What can I do with these? I can throw them away and make some room, or I can try to use them in ways that might be expected to sensibly benefit me.
There are also ways to misuse or use in non-beneficial ways these resources. For example, I could have a cookbook, and decide to cook the book and eat it, but that would not provide me with much nutrition or value, it may even be considered a destructive waste (but maybe you could discover something very unexpected if you tried it out, maybe even something about yourself which you haven't yet realized).
So, what to do with what comes our way? My answer would be, to do what we think can extract the most use and benefit out of it? What about this tomato? Did you know this tomato was harvested by a man who raped his own sister? Don't ask me how I know that, for it is written, here, by me, as you can clearly see. Should I throw this tomato in the trash? It touched others as well in order to reach me, but he picked it out of the ground from its root. Shall we use it in some recipe or give it to the decomposers? Ah, you're allergic to tomatoes I see, so no tomato for you then, and why are you in my house? Why can mean what benefit do you provide to justify your presence or interaction with me, or are you just a waste, like a tomato you can't eat without swelling and turning red like one yourself, or books you can't read because of imaginary sins by imaginary sinners? Well, you probably have many uses, if we put our minds to it, and the least use might be if you were discarded, or discarded for your sins even. So how do we make use of you? Well, you're not very good at making use of things yourself, so how about cooking? Well the tomatoes might be an issue there. Can you clean?
If you can clean, can you also clean items using your skill and intelligence to make them available for extended use to you and us? Or as soon as some dirt touches a thing you simply throw it in the trash or even if it looks a little stained somehow, you can't bare to look at it? Is that what Jesus would do? Maybe, I never knew him personally while he walked the Earth, but someone said he was a liar, a trickster, a magician, a madman with mental problems, and they wrote many tales about him, what should I do with those? Maybe throw them in the trash along with those killer tomatoes and rotten reviews?
Do you understand?
We have content, make use for it or throw it behind your backs for petty and senseless reasons, the loss is only yours, water doesn't need you to drink it even though its available for you to drink it, you can totally skip drinking it, maybe water prefers that anyway.
www.islamawakened.com/quran if you want to give mental illness another try.