Well not exactly. Islam is very conservative in their own right. They advocate killing queers where the radical liberal left wants every one to become a queer. Many Hollywood celebrities would be put to death under Islamic law and under the Liberal agenda the more decadent and perverse the better.
The same goes for the Commies. Other than China under Mao and "Democratic Kampuchea," every Communist country that has ever existed has been super socially conservative, super patriotic (to the "socialist motherland"), and super militarist. There are no hippies in any Communist country. Yet the hippies still support them.