There are lot of baseless and uncited claims in your post. The blog post you cited took a few verses from the Quran, and attempted to deduce rulings out of them, without going back to what scholars know.

> For some reason this is not happening.

Maybe something for you to research and find out why (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). The death penalty in Islam is very, very strict, applicable to only a couple of situations, and can only be done by the government. Even then, people are encouraged to forgive if they are in a position to do that.

> There is not a single mention of a headscarf anywhere in either the quran or the hadith.

If you're looking for the literal word "headscarf" then yes (at least for the Quran). However, covering up (what is known as the headscarf today) is required in Islam. There is not enough space here to discuss this issue, it is sufficient to know that the Muslim women during the time of the Prophet Peace be upon him, practiced this.

> For instance, there is a death penalty for muslims who choose not to live under islamic rule.

I would like to see the source of that claim.

> And no, the law does not mention the case that there is no islamic state.

Just because there is no Caliphite state today, does not mean that there are no Islamic states. Nowhere in the sources is it stated that a Caliphite system is the exclusive way to have an Islamic state. In one Hadith, the Prophet Peace be upon him mentioned that the Caliphite period after him will be 30 years, then it will turn into kingdoms. There are dozens of Hadiths that tell people to have patience, and not to overthrow their governments, even if those governments are messing around with some religious rulings (e.g. delaying prayers until after their time). There are only two cases where it is permissible to overthrow the ruling government, none of which apply to any of the countries of the so called Arab Spring today.

We also have Hadiths that describe people with mentalities similar to what we see in ISIS today. One of these Hadiths calls such people the dogs of Hell fire.

> That I am a racist if I think otherwise.

I don't see what racism has to do with any of this. You're free to believe what you want, but it seems that the vast majority of what you believe about this topic is based on either no evidence at all, or on deliberately misconstrued "interpretations", which can be easily dismissed by a learned individual.

> How much does it really match the religion's instructions ?

It goes against it 100%. The Prophet Peace be upon him told us not to overthrow our rulers, regardless of how bad they get. They have absolutely no religious basis to their actions; none of the nearby countries recognize them as a legitimate government; we have Hadiths describing people like them.

> Islamic ideology glorifies this war of the prophet against the Roman Empire, and the Jewish and other states bordering it...

He did not wage war for the sake of waging war. This is another misconstrued view you have of Islamic history. In ALL of the wars that happened during his time, it was to either fend off an attacking enemy, or it was after a peace treaty was broken by the other party.

> and describes it as a war that can and should only end with total worldwide victory of the religion.

* http://quran.com/49/13

* http://quran.com/10/99

> keep in mind that islamic marriages are arranged

Again, more uncited claims. Arranged (i.e. forced) marriages are against Islamic teachings. Them happening in Muslim countries does not mean these practices were derived from the religion (basic correlation vs. causation fallacy).

That being said, I don't disagree that there are many misconceptions that are spread in the Islamic world, about certain rulings or teachings, that in fact, are not from Islam. It is important to educate people about what is and isn't from Islam.