There is a reason why you choose to live in a democratic society, because it's the absolute best system we've ever had, and probably will for some time.
I think you're either trolling, really out of touch with reality, but here is an excerpt from the above:
2. We hate you because your secular, liberal societies permit the very things that Allah has prohibited while banning many of the things He has permitted, a matter that doesn’t concern you because you separate between religion and state, thereby granting supreme authority to your whims and desires via the legislators you vote into power. In doing so, you desire to rob Allah of His right to be obeyed and you wish to usurp that right for yourselves. “Legislation is not but for Allah” (Yusuf 40). Your secular liberalism has led you to tolerate and even support “gay rights,” to allow alcohol, drugs, fornication, gambling, and usury to become widespread, and to encourage the people to mock those who denounce these filthy sins and vices. As such, we wage war against you to stop you from spreading your disbelief and debauchery – your secularism and nationalism, your perverted liberal values, your Christianity and atheism – and all the depravity and corruption they entail. You’ve made it your mission to “liberate” Muslim societies; we’ve made it our mission to fight off your influence and protect mankind from your misguided concepts and your deviant way of life.
Is that enough for you? The part about "waging war against non believers caught my eye", how about you?
You're citing ISIS. I suggest you some research to see who funded (and founded) ISIS and their ilk, and their predecessors for the matter, and for whose interests it is that they remain. Plus, even they don't use the word "infidel" in your link. They mix truth (e.g. western colonialism and rules that Islam dictates) with falsehood, to push their agenda. ISIS and their ilk have always attacked other Muslims. Plus, I don't see the word "infidel" there.
If you want an in-depth understanding of Middle Eastern politics, including but not limited to the impact of religion, I recommend the late Robert Fisk's The Great War for Civilization.
Incidentally, I can't help but observe that this hyper-conservative rhetoric is not a million miles away from current histrionics about the 'woke mind virus'. Relatively mainstream US think tanks like the Heritage Foundation advocate for the criminalization of pornography and I get the impression they're not too hot on 'sin' in general.