> (hint, because Islam preserves life, and its goal is not to kill left and right, like how you're trying to make it seem to be)
This is supposed to refute that sharia has the death penalty ...
Let's put some of your other claims right here, so that people can realize just how far-fetched and wrong they are :
(answer to that islam instructs muslims to fight)
> The Prophet Peace be upon him told us not to overthrow our rulers, regardless ...
(answer to that islamic ideology glorifies the prophet's wars (yes, plural), raids, mass-rapes and genocides)
> He did not wage war for the sake of waging war.
True of course, like any other genocidal maniac he liked raping, stealing, and the like. If he could get young girls without a fight, he took it without a fight. For instance, Aisha was sold to him in trade for a contract that Ali would be his successor (go ahead and claim that that does not qualify as an arranged marriage). And muslims are still fighting about that ... hell it's one of the things Daesh claims to be fighting for in Iraq : their opinion being that the contract is invalid.
All your other arguments are equally orthogonal. Which means, of course, that you don't rationally disagree with the case presented at all : that islam demands war until the total subjugation of the entire world, and that muslims are teaching their children this. And yes, they add "but don't actually do that because it's stupid" to it, I don't even dispute that.
And then Daesh and others field clerics that remind those children, now all grown up and loose from their parents, that the books their parents taught them from teach war, fighting and death, and provide the opportunity, the weapons, and the thing that they can't get on their own : a life, a family, in trade. They do this when those kids are angry, when they're abandoned by society.
What people don't realize about Daesh, Hamas, PLA, Al Qaeda and others is that this is what those organisations do, in order of importance :
1) arrange marriages (generally not forcing either party, just vouching for their credentials and bringing them together)
2) provide family support (apartment, basic medical care, schooling, ...)
3) provide jobs, mostly non-violent (mostly building houses actually)
4) attack innocents, carry out attacks, mass-raping of anyone not in their little circle, ...
Attacking 4) does not work. It is futile and beside the point. You need to attack, first and foremost, their ability to do 1). You need to attack the ideology itself.
And this works. Why does it work ? Because of islam. Because the ideology. Because islam is a violent, despicable religion.