I don't know if the Stones are political, although Gimme Shelter & Indian girl are anti war and anti Castro ("where is your mother, where is your father? Fighting for Mr. Castro in Angola?". If they do not perform it will be due to potential arab violence not political preference. This will backfire on the arabs.
U.S. to defend Syrian rebels with airpower, including from Assad (Reuters)
from the article: Palestinian group urges Rolling Stones to boycott Israel