Who are you kidding. According to the RCC it’s the Catholics who serve the same God as the Muslims.
Catholic Catechism
841 The Church's relationship with the Muslims. "The plan of salvation also includes those who acknowledge the Creator, in the first place amongst whom are the Muslims; these profess to hold the faith of Abraham, and together with us they adore the one, merciful God, mankind's judge on the last day."[330]
Pope John Paul talking to Catholics.
One of his first trips abroad was to Turkey, an overwhelmingly Muslim country, in 1979.
In a talk to the tiny Catholic minority there he urged respect for the religious and moral values of Islam.
In Morrocco speaking at the Casablanca Stadium he said, "we believe in the same God, the one God, the living God."
In May 2001, the pope became the first pontiff in history to enter a Muslim place of worship when he visited the Umayyad mosque in Damascus, Syria. He paused to pray at a memorial to St. John the Baptist inside the mosque in an event that was televised around much of the Muslim world. [http://www.catholicnews.com/jpii/stories/story04.htm]
I would suggest you know what the Catholic Church teaches before making snide remarks.