The CCIF is a group which fights "Islamophobia" - a fear of Islam. It has had success in winning recognition from the powers-that-be:
in 2011 we won a true international recognition by forging a partnership with the OSCE (Organization for Security and Cooperation in Europe) and becoming an advisory member of the United Nations (UN).
But here is the quote from the CCIF that Tiberge found. The words were spoken by Marwan Muhammed, spokesman for the organisation:
Who has the right to say that France in thirty or forty years will not be a Muslim country? Who has the right? Nobody has the right to take that from us, nobody has the right to deny us that hope. To deny us the right to hope for a global society faithful to Islam.
So the CCIF wants to suppress the voices of those concerned that France might become a Muslim country ("Islamophobia") whilst at the same time defending passionately the right of French Muslims to hope that France will within their own lifetimes become a Muslim country.
It's an interesting example of the way that words like "Islamophobia" are used for aggressive purposes, i.e. to disarm opposition to an agenda that is hostile to the majority.