Unfortunately the framers of the Constitution weren't familiar with Islam or their would have been an Islamic exception in Article VI. (IMHO)
What is different is that the framers also fully understood the distinction between belief and behavior. Believe whatever you want, but there are rules of civilized behavior called laws that are not optional. So while the framers would defend any Muslim's right to his beliefs, they would also not tolerate any attempt to substitute Sharia for U.S. law.