Would your response be the same if an outright racist or transphobic comic was murdered? Would you spread racist and transphobic content to assert your free speech?
Society bends over backwards to not offend Islam out of fear.
Not drawing cartoons is not bending over backwards. If they were trying to get women being veiled, or ban abortions or homosexuality then yeah we should tell them to fuck off. But if they're just asking to not say a word or draw something that isn't necessary to political dialog then it's fair for society to respect that. It should be enforced by being ostracized not killed though.
People shouldn't be shot for saying the n word but if someone did get shot for saying it we shouldn't all go around saying the n word because being intentionally offensive is still a dick move. Again not one that should be punished with death.
Obviously it's horrible to kill people over speech. Cartoons do not justify violence or terrorism.
But we also shouldn't pretend like speech is necessary or valuable just because it's offensive or that offending people to the point of violence is noble.
If someone was killed for saying the n word that would be a tragedy and should be condemned. But we shouldn't all go around yelling the n word just to assert our free speech or pretend like the guy saying the n word was a hero for doing it.