"....Accusations of "islamophobia" have been used to shut down free speech."

Have they now? Cite an example of a country that's passed ANY form of legislation limiting free speech about Islam. I'll bet you can't.

On the other hand, when criticized for their bigotry, haters always whine that their right to free speech is being curtailed. They have no qualms about verbally attacking others over their religion, or colour, or sexuality. But should someone use their right to free speech to criticize their prejudice, the bigots wet their pants. "Someone's trying to take away my right to free speech. Wah!" The utterly oblivious to the fact that someone just used free speech to counter their hate.