That's a game played by both sides though. Liberals love aiding the fundamentalist cause of representing Islam as a monolith whenever it serves their narratives. That's how Maryam Hübsch gets to speak on television as a supposed representative for all Muslims (or all European Muslims or all Djerman Muslims). On the same note there's also significant struggle going on both in majority Muslim countries and in the "West", with Muslim women making very serious efforts to redefine Islam. Both "western" conservatives and liberals claim to seek to aid them in that effort. How genuine these claims are can be scrutineered on either side. The noteworthy datum is that they both make very similar errors of perception, representation and judgement.