Some questions

If the Labour party said that cartoons caricaturing or mocking their MPs and leaders deeply offended them, should the media stop producing such cartoons?

If the Royal family said they found cartoons that mock the Royals offensive and hurtful, should the media stop producing those?

If the leaders of Christian, Jewish, Sikh or Hindu institutions or communities said they found cartoons mocking their prophets or leaders insulting, should the media obey?

If representatives of the USA said the Americans found cartoons caricaturing them or their president or their army or their people deeply offensive, should the media stop producing such cartoons to mollify their feelings?

If this line of reasoning doesn't convince you that the media should stop producing cartoons caricaturing (members of) the above groups should they claim to feel that way, why should it convince you in the case of Muslims?