Well, I certainly don't think that studying Islamophobia poses any greater threat of state interference in speech than studying any other forms of discrimination. We already have laws that curtail speech—namely, hate speech laws, libel laws. Nothing about studying Islamophobia and nothing about adopting some sort of anti-Islamophobia initiative would on its own curtail speech.
At the same time, there is no constitutional principle in this country of unlimited free speech. In 2013 the Supreme Court of Canada justified the infringement of an individual's free speech, finding that this individual was not free to quote the Bible and publicly propagate discriminatory and hurtful comments about LGBTQ persons. The case, called Whatcott, involved the careful balancing of free speech with anti-discrimination principles. There is a long tradition in this country of speech and equality being in constant dialogue. Unfortunately, those who wish to undermine this important Canadian constitutional tradition are waving the flag while doing that, but—