Hmm,you could do a belly dance or whirling dervish performance? Maybe use the Grand Bazaar as some sort of back drop? Maybe you could dish out Turkish tea to your audience as they watch? if its a small group of course.
Janissary costumes are recognisable to,and maybe do something on Ottoman military bands,and play Mozarts 'Ronda alla turca' in the background as its recognisable.