Why can't the Muslim extremists see that anyone can make a video trashing Mohammed, any time, anywhere?

Because the Internet, and the resulting global world view it has created, is a new phenomenon. And Muslim societies have traditionally been too tribal and close knitted to accept a global world view. Also it's not that they can't see anyone creating such a video, it's that they want anyone creating such a video to face their wrath or at least punishment from the Government. The reason these societies are slow to adapt is that their local politics and economics still profits from tribal mentality. The reaction of Muslim societies though has been very different from other similar societies because of the close association and interference of the USA in their local politics. Had they been isolated culturally and politically, like for example the Buddhists in remote China or some tribe living in the jungles of Africa, they wouldn't have bothered much. With the USA, they consider their right to enforce their edicts, just as they perceive the USA enforcing its on them.

Unfortunately, Islam is often administered in a very rigid manner. A consequence of this is that any form of blasphemy is a capital offense, punishable by death. An unflattering portrayal of Mohammad tops the charts when it comes to blasphemy. Additionally, in most Islamic lands, the American ideal of Free Speech is not just a foreign concept but highly offensive. The American Constitution consists of man-made laws which are frequently regarded as flying in the face of Allah's god-given laws, as handed down to the prophet by the angel Gabriel. Finally, in a similar manner, the notion that one has no Constitutional right to not be offended has little if any meaning in much of Islam. In some cases, even a Muslim saying something offensive about another Muslim can result in the successful pressing of slander charges, regardless of the fact that what was said is perfectly true. This skinless attitude makes any acceptance of "Internet trolls" pretty much irrelevant. They are blasphemers that, just as often, are better off executed. The entire and largely fabricated http://freethinker.co.uk/category/motoons/ uproar provided more than enough proof.

There is wisdom in Daoud and Tooba's answers, but a very Western aspect in Oren's (although this doesn't make it wrong). The Western media report on the riots in the Middle East, which in turn are reacting to an insult that one of their own media brethren has distributed - i.e. they have a vested interest to make the rioters look unjustified. YouTube is a platform to distribute content, be it offensive, intelligent or humorous. They should have strong rules supporting religious tolerance as they have for copyright. The only difference between the two types of complaint is that one is commercially driven and has local powerhouses pressuring YouTube. Respect must be defined and regulated when you're communicating a message to the public. If you want a recent example of intra-European grief, consider the Kate Middleton photos. It wasn't so much the breach of privacy but the response of the imbecile who is editor of the Parisian Closer. She supported her stance on distributed the photos and then abused those people who had complained - i.e. Prince William - by saying, "It is as if we had killed Princess Diana a second time." (http://www.ibtimes.com/kate-middleton-topless-photos-french-editor-%E2%80%98shocked%E2%80%99-uproar-789248). In Britain, we thought that Laurence Pieau was crazy for saying that and she has received death threats since. Because we do not have a relationship with our God as the followers of Islam have with their Prophet (and therefore perhaps don't appreciate the sensitivity), it does not mean that their relationship is invalid. Couple that with the political situation on the region, in which the US and EU have wielded somewhat unnecessary force in several countries, then you will find that there isn't so much goodwill for our insensitivity to one part of their lives that they might consider still incorruptible. There is also a huge amount of truth in Oren's answer. There are stakeholders that enjoy causing popular revolt. The Western press mentioned the cartoons that Egypt published in response to the recent French cartoons (http://www.bbc.co.uk/news/world-middle-east-19721654) but there hasn't been so much public discussion about them, nor has there been any violent reaction.

The protest is that the USA has failed to ban it.  Even though films and books do get banned in the USA, for various reasons, mostly concerning money and 'intellectual property rights'.   The authorities could have said "this is a gap in the law and we will fill it".  They have instead said "this is something you should view as normal".   This amounts to saying 'you should view your religion as unimportant, something that should never get in the way of important things like money'.   Don't be surprised that Muslims are not accepting it.  Particularly now that the USA has gone to such trouble to knock down repressive secular regimes that were repressing religious extremism, among other things.   The USA has sown the wind.  Don't be astonished now that you reap the whirlwind.

Well first of all Muslims are NEVER extremists.Does anyone who stands for his rights,his dignity is an extremist?Still I would love to know the definition of 'extremist' from you guys. Second point,we are humans.We are not living in a jungle where anyone could do anything.Every country has some laws,i assume even in Europe there are some laws which ban discussion of holocaust.likewise Muslims around the globe were,are and will always be sensitive about Mohammad P.B.U.H.I can never get that IF we do not want anyone to disgrace our Prophet P.B.U.H and neither we disgrace yours then what's the problem with everyone? Sometimes there is some idiotic cartoon day,the other day a trailer is there to agitate us.what's the use?Every action has a reaction,you People just see the reaction,label Muslims as terrorists or extremists.I literally feel sorry for you guys.I believe not Muslims but the west is extremist,they can't tolerate any Muslim in peace and they know that Muslims can ignore anything.Abuse them,kill their families,do whatever you want to,we won't show the EXTREMISM.But don't talk about our Prophet P.B.U.H,for that we can do anything.We love and respect our Prophet P.B.U.H more than anything,anyone and we can't allow anyone with a camera to do whatever he want to just to humiliate us. Plus Muslims never mocked any religion.The day there will be no laws against holocaust,i will seriously consider your views. There is a fine line between freedom of expression and freedom of insult.lets assume someone comes and insults you,your family and punches you,hits you.what will be your reaction?,will you sit and smile?,same is the case here. Kindly let us live our lives.and about youtube I will just say that I believe uploading such nonsense videos were against there rules and regulations.Now where those rules disappeared?Just to please that person with a camera,youtube is more that happy to accept the ban but not removing it.i am a student of international politics,relations and development and now I can easily distinguish between the trouble creators and peace makers.That person who made the video is stupid,is youtube too is stupid? WEIRD