kempo/Ellis.

Given that we are going wiki, here's a link to the page for Ramzan Kadyrov, the president of the Chechen Republic, which gave us the Boston Marathon bombers as well as providing many of the foreign fighters operating in Syria and Iraq. Note his appearance. Does he pass the 'Muslim looking person' test?

https://en.wikipedia.org/wiki/Ramzan_Kadyrov

Chechnya is part of the Caucasus, which gives us the word Caucasian.

There are Muslims in China and other parts of the Far East and, of course, the most populous Muslim country in the world is Indonesia, so I suppose that people of an oriental appearance must also be lumped into the 'Muslim looking person' category.