My two cents on the whole cartoons debate. I'll start by saying I'm not a muslim, so if people think I wouldn't be able to understand the muslim reactions to cartoons on the Prophet and my answer would be biased on the account of me being a non muslim, fair enough. But these are just my thoughts on this whole issue.
The question is not so much about is it offensive or if it isn't. Let's be honest, they're offensive and meant to provoke reactions. It would be offensive even for a cultural muslim I assume as would be cartoons on hindu deities for a cultural hindu or hindus in general. But have you ever wondered why the right wing groups in Europe don't concentrate their ire on the hindus or Buddhists for example as much as they provoke muslims. Is it because the hindus and the buddhists are in the good books of the racist right wingers, certainly not. They would probably think as bad about the hindus, Buddhists and other minorities as they think of the muslims. The simple reason is because muslims fall very easily to the bait of the right wingers time and time again.
When right wing groups burn the Quran or publish offensive cartoons of the Prophet, it's not so much to offend the muslims per se. Well that's secondary but the primary reason is to evoke a reaction they want. The main objective of right wing groups in any country is to cause polarisation of the society they live in. In this case, it is to polarise the general people of Europe against muslims and create a wave of negative sentiment against them perpetuating Islamophobia among the average joe. When they make the cartoons, they know that muslim groups will cause massive protests. If it's headed by a group of angry bearded muslim men with placards, that's perfect tv for them. And almost always, a random nutjob would take the knife or the gun to "avenge" the honour of the Prophet causing deaths, exactly like it happened in the Charlie Hebdo shooting incident. Or the more recent knife attack in France. All these would perpetuate the sentiment that muslims are an intolerant community incapable of accepting any form of criticism and react with violence at any such criticism. This a self perpetuating cycle, someone makes the cartoons, muslims get angry and protest en masse, a violent revenge attack happens which feeds to the sentiment of Islamophobia.
So muslims when they angrily protest against the cartoons, they unknowingly fall to the trap of the right wingers and feed into this vicious cycle of fear, phobia and hate against muslims. Now the next question is how to react. You react exactly how you would react to a troll in an online forum. A troll's main objective is to evoke a negative reaction with the people he engages, and the best way to deal with trolls is to ignore them. I'm sure there must be a few cartoons on hindu deities or Buddha published by RW groups in the past, but when they don't get the desired reaction, they automatically stop or get buried in the news. In fact, I would argue that the cartoons of the Prophet got more famous and got to the front page of newspapers by muslims angrily reacting to it than if they had simply ignored it. Charlie Hebdo doesn't care about negative publicity, it works on the motto that any publicity is good publicity.
I definitely think muslims need to tone down their reactions to offensive material for their own sake.