There's a culture war in this country. Americans in recent years, as you know, have become more secular. They don't go to church as often. Bible reading, prayers in public are now frowned upon. And, of course, in addition to that, a lot of people have become much more supportive of LGBT rights. And in reaction to that, biblically conservative Americans feel that their faith is under assault.
One of Donald Trump's criticisms of President Barack Obama and of Hillary Clinton was that they seemed reluctant to use the words radical Islam. It was not just semantics. Trump said it's important to name the enemy idea and then attack it. Consider the Cold War. The U.S. and its allies waged a kind of propaganda war against the communist idea using radio broadcasts and other tools. Trump has said he'd do the same against Islamic extremism.
They don't want to feed an ISIS narrative that there is a religious war between Islam and the Christian West, plus genocide is carefully defined under international law.