I have already explained that Hurkyl……….Muslims have a culture where they do not, I repeat, they do NOT tolerate ridicule and slander against their holy profit Muhammad.
People overlook the usefulness of a simple yes or no answer.

You've managed to write over a hundred words without saying
anything about violence.
I'm beginning to suspect that you are equating all forms of protest:
If the Middle East had published a cartoon of Jesus in a repugnant manner, I promise you all the news media would plaster that around the entire world with outrage, and the military would flex it's fist in Iraq towards the Iraqi people. What’s with this double standard?
There is no double standard. If an Iranian media outlet did so, even if we go with your assumption that it would be plastered across the Western world with outrage, we would not see a boycott on, say, Iranian textiles, nor would we see embassies being closed out of protest.
And this is all despite the fact that the Iranian media
IS controlled by the Iranian government.
It confounds me that you do not seem to distingush the mere fact that they are protesting from their vehicle of protest.
I think the country owes an apology to the Middle East no different than a company would apologize to a customer for poor behavior on an employee’s part.
One of the whole issues is that this circumstance is
exactly the opposite of what you describe.
The employee of a company is, well, an employee of the company. The Danish newspaper is
not a branch of the Danish government.
It goes against the very
definition of the word "apology" to think that the Danish government can apologize for the newspaper.
To say that this newspaper had no clue that it was crossing the line by insulting the prophet of a major religion is simply asinine.
The Christian faith, for example, is
regularly, and
directly ridiculed in the Western world... not just indirectly through the symbols of that faith.
I cannot fathom why you cannot understand how people would not have thought that something that wasn't even meant an insult would be crossing the line.
And even still, crossing the line is one thing. Expecting the severing of diplomatic ties of their home country is something entirely different.
Again, this goes back to how you seem to confuse all forms of protest with one another. It is clear they should have (and did!) expect to anger some people. They should not have expected what has happened since.