America was hewn from the wilderness by heterosexual Western European Christian men (villains since 1492). It was founded upon Judeo-Christian values.
It's legal system are based upon Roman Law, Dane Law, English Common Law, and the Napoleonic Code.
Islam is not part of the fabric of America. Neither is Catholicism.
The Founders were Protestants who based our system of Government upon Protestant principles of Separation of Church and State.
Most faiths have historically intertwined Church and State. The Separation of Church and State upon its inception is one of the qualities that make America exceptional in World History.
Actually, the Maryland colony was founded by Catholics in 1632 on the premise of freedom of religion. The Protestant Reformation (because if you have freedom of religion, you have to let everyone in) in MD saw priests hunted by Protestant gangs and even troops. That alone should stand as a warning to any who can see it.
Charles Carrol of Carrolton was the only Catholic Signer of the Declaration of Independence, but Catholics were represented. Putting Catholicism in the same basket as Islam in the 18th century is crap.
What the Islamists did do was get the Navy to go chase the Barbary Pirates, something which helped a little by the war of 1812, and contributed to our becoming a Naval Power afterward. Their role was strictly adversarial, and would be like the Soviets taking credit for the US Space program.