its like asking a hindu if he/she will like ram rajya.. hell yeah bjp take my vote is the right answer..
they should ask further questions with specifics.. e.g. do they want hands to be chopped off for stealing... and compare it with non-muslim population of same geography.. the response will be nearly similar
What makes you think muslim would be averse to punishments that are "barbaric and brutal" in the psyche of westerns like you? DO you think every muslim think like every other materialistic westerner and that you people are the center around which the world revolves? Let me assure you that there are plenty of Muslims who are true to their way of life and belief and are proud of it.
ON a side note - it seems just likely majority westerners you have absolutely 0 idea about Sharia. Simply put Islam is Sharia and Sharia is islam. Making 5 daily prayers, building a mosque, halal meat, marriage, divorce, naming one's child, inheritance, business, how to interact in work place, parent's obligation, child's obligation, schools, hospital etc etc i.e everything related to your daily lives comes under sharia. Its NOT just 4 or 5 punishments or governance. And all those punishments and laws have conditions and are to be judged by islamic jurists trained in islamic sciences and jurisprudence and subjected to state authority. Its NOT jungle law as people like you desperately try to portray. Judicial systems of all most all muslim countries (except of KSA may be) are derived from secular European models and most of these muslims countries are 3rd rate shitholes suffering under the yolk of western imperialism. The mythical "barbaric sharia states" are only in your head and that image had been in-printed into you by western orientalist over decades and finally they managed to manufacture an entity called ISIS that perfectly fits that western orientalist stereotype of what a "bogey sharia state" is like. That's what you called manufactured content. THE western world is frightened by a value system that opposes its world view and thus the western world have resorted to making a false image of its enemy in the eyes of its people.