I agree, it's our only hope in the long run. Unfortunately, converting Muslims is notoriously difficult. Fr. James Schall, quoting Hillaire Belloc, noted that,
Islam would not look at any Christian missionary effort. The so-called Christian governments, in contact with it, it spiritually despised. The ardent and sincere Christian missionaries were received usually with courtesy, sometimes with fierce attack, but were never allowed to affect Islam. I think it true to say that Islam is the only spiritual force on earth which Catholicism [or any other denomination or religioun] has found an impregnable fortress.
Its votaries are the one religious body conversions from which are insignificant. Belloc recognized that Islam flourished because it did have some basic truth about God, however that be interpreted. “Mohammedanism struck permanent roots, developing a life of its own, and became at last something like a new religion...,” Belloc wrote in The Great Heresies. “Like all heresies, Mohammedanism lived by the Catholic truths which it had retained. Its insistence on personal immortality, on the Unity and Infinite Majesty of God, on His Justice and Mercy, its insistence on the equality of human souls in the sight of their Creator – these were its strength” (128). Belloc saw the strength of Islam in its virtues. It is for this reason alone, the impregnability of Islam to Catholicism, however, that the Church needs to take more cognizance of what is this growing force in the world. It is not enough to condemn violence in the abstract. “Go forth and teach all nations” is not possible if the nations will not allow themselves to be preached to. The western theories of freedom of religion, whether secular or religious, have made no headway in Islam, and only rarely are they criticized for this lack. Those few who are Christians or members of other religions, in most Muslim lands, in practice must be content to remain second-class citizens and are constantly subject to the pressure to convert to Islam.
Fr. Schall's whole article can be read here.
Whew! That may just well win the Maximum Utmost Award in the highly contested Religious Arrogance category.