This will not stop God. If HE wants a house of worship built then it will be built.
Satan's mosques will continue to thrive in his world including the ever darker western nations, but the house of God will still bring the victory of Christ to HIS people.
1Cor 3:16 Know ye not that ye are the temple of God, and that the Spirit of God dwelleth in you? 17 If any man defile the temple of God, him shall God destroy; for the temple of God is holy, which temple ye are.