I respect your pov, but I vigorously disagree with it.
One of the greatest movies ever made is Zulu.
It is inevitable that we will have our Christians, such as the Christian in that movie. So be it.
worshippers of mohammed do not need their hearts softened. They need their skulls penetrated, and their minds opened. Minds are opened by the truth, not by emotion.
Rationalize in, rationalize out. Those that didn't arrive at their faith through logic are not going to be convinced they're wrong using logic.
Your heart seems to be somewhat hardened to these people & your desire to get them to reject their faith seems to have more to do with you, what you want, than it has to do with them & their salvation.
Begin again at your tenth point & reach out for them with your heart, rather than your mind.
One of the aspects to our nature has to do with the kind of stimulus that motivates us to change the most. For some, moving away or avoidance of something negative works, while for others there's a need to feel one is moving toward something. From your stated solution, I assume avoiding is the greater motivator for you. I don't see anything about sharing the good news, so right off the bat you're speaking the wrong language for a portion of the population.
Faith in our Father makes us want to spend eternity with him & the orgy scenario created by Islam not only doesn't glorify our Father, it's cheap & a poor replacement theology. Imagine, our Father wants us to experience something greater than anything we experience here on Earth & Islam offers something that is limited & grounded to Earth.
They are selling themselves short & I think you're doing the same, because you & they use Hell as something to avoid, an awful place where no one wants to go, so better shape up, or else... Hell is the grave, it is death. Fear not the one who can kill your body, but fear (revere) the one who can kill your soul.
I'm only trying to get you to see the other half of the truth, though I agree we are called upon to do the work our Father wants us to do, share his message with non-believers. When it is something that is self serving, you're missing the purpose, which includes action that helps to soften our own hearts.