Iqra Khalid accused Tories of making a "fake frenzy around the word Islamophobia."
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Several Tory leadership hopefuls won't support M-103.
"Even our loving Canadian society is not immune to what fear can provoke in the hearts of people."
The building was also spray-painted with graffiti a few months ago.
Quebec police say they've increased security around mosques in that province.
A terror attack killed six and injured 19 others.
"We have those two devils within our society: racism and xenophobia. They exist," said Philippe Couillard.
The motion condemns Islamophobia towards Muslim Quebecers, in particular Syrian refugees.
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