Perhaps. Failing that, I'm willing to bet the future Caliphate will be VERY moral.
Most of our immigration is coming from Latin America, which is historically Catholic, with a sizable evangelical minority, or from East and South Asia (some Muslims from Pakistan or Bangladesh, but mostly a mixture of Buddhists, Hindus, Christians, and nonbelievers). Unlike the case in Western Europe, Muslims are a decidedly small minority of America's immigrants.
We may have serious problems, but the possibility of radical Islam coming to power is not one of them.