Not only should islam be prevented from coming to America, the existing mosques should be demolished. islam is not a religion any more than Nazism is/was.
It’s a totalitarian political system totally at odds with the Constitution that has religious components.
Islam is a religion; we don’t have to like it to agree on that. When the constitution was written “free exercise of religion” meant that the Anglicans and the Congregationalists should tolerate one another. At this point, I don’t think mosque closures can occur under the Constitution. However, immigration tests can and should happen, including religious tests. In my humble opinion.