Some years ago I was in contact with an American iman who liked to say that the US Constitution is the most classically Islamic constitution in the world, better than those written by Islamic countries.
His point was that people (speaking in general, from the perspective of any religion) tend to connote strictness (which Islam requires) with intolerance (which it does not require). The Bill of Rights is largely in concert with classical Islam….not so much with today’s Saudi-exported views.
Comparisons are complex and much in conflict with today’s postmodern views; Islamic views do *not* conflict nearly as much with the views of the Framers of the Constitution, and the standards of that era.
It’s a difficult study which has not been much investigated because we are just starting to have a generation of Islamic scholars who are raised in the West and therefore understand it, and who are fluent in both English and Arabic.