Read about the sack of Baltimore, where inhabitants of an Irish village were captured and enslaved to the Ottoman Empire in 1631. The man leading that raid ended up on Long Island and has been listed as an ancestor of several relatively famous American personalities according to the book.
It is not surprising, in that light, to find that coinage from Muslim countries would find its way to the east coast of N America considering that pirates used the relative safety of those waters and many settled there using the spoils of their trade, and their connections, to establish themselves as legitimate citizens in the new lands. These coins are connected to different events but the existence of other world coinage in colonial America should be no surprise.
https://www.goodreads.com/book/show/4881890-the-stolen-villa...
Dey of Algiers etc., well that was something different. Any infidels who hadn't paid protection money were a fair game for them. The British paid protection money and had free passage around North Africa - to the detriment of their Italian competitors who could not afford to do the same. Americans, after trying to negotiate via France, decided to crush the enemy instead of paying ransom.
Ironic. A century later, the newly created United States would build a navy and start fighting pirates (First Barbary War). How things can change.