Reread the article, this time without skipping over parts of it. Hitchens was, quite accurately, comparing the state of Islam today with that of Christianity in the late-medieval and early-modern periods.
After rereading, I think that Hitchens may be referring to the cultural and interpretational upheavals of Christianity before and shortly after the Reformation. On those points, I would agree with you and Hitchens.
I still believe that there is a great deal of doctrinal differences between the teachings of Christ from the New Testament's first Four Gospels and the teachings of Mohammad towards the end of the Koran and the entire Hadith. So much so, that I don't see an Islamic Reformation (unless a goodly portion of Mohammad's revelations are tossed out) changing the "jihadist" mindset of the Muslim World.
Christ did not endorse violence or forced conversion towards non-believers by His followers. (Although self-defense might be necessary in certain situations.) Nor did Christ tell His Apostles to teach that it was OK by God to deceive, loot from, cheat, extort, rape, enslave or murder anyone who didn't agree with their views. Yes, some of those fore-mentioned acts were committed by so-called Christians during the Medieval Ages, the Inquisition and even after the Reformation. Try as the so-called Christians might, those evil acts had no solid basis for interpretation in the actual tenants set forth by Christ according to the Biblical Scriptures of the New Testament.
On the other hand, the Islamic Prophet Mohammad commands Muslims to do the above-mentioned acts because allah has told Mohammad personally that the acts are OK to do, especially when carried out against the infidels. Unlike the New Testament within the Bible, there is a solid basis within the Koran and Hadith that encourages Muslims to do violent, cruel and hurtful things against human beings, especially those persons who don't agree with their views.
Hey, I'm all for an Islamic Reformation, with the more "moderate" Muslims in the majority. Let's hope that a more "moderate" Islam means that I don't have to spend the rest of my life knowing that there are lots of Muslims out there whose beliefs allow them to harm me, my family, friends and fellow human-beings because we won't kow-tow or convert to their religion.
Again, I'm not very hopeful that an Islamic Reformation will bring about peace between Islam and the rest of the world (which is called "The House of War" by devout Muslims) since I have read the Koran, Hadith and studied Islamic culture. Islam allows Muslims to DECEIVE infidels like me into thinking that Islam is "the religion of peace" until the time comes when the unwary infidels can be ambushed by Muslims into accepting Sharia or else! If the Islamic Reformation happens, I sure hope that the so-called "moderate" Muslims who win know the Western meaning of "moderation." It would be a crying shame if the term "moderation" suffered somehow in the translation...