Sayyed Mohammad Al-Musawi, Sayyed Mohammad al-Musawi is originally from Iraq and heads up the World Ahlul Bayt Islamic League in London. Other than being involved in various humanitarian projects, he frequently responds to... Answered 1 year ago

Muslims living or visiting non Muslim countries are required to respect the law of the land as well as follow the day to day Islamic rules. Punishments described in Sharia on certain crimes are not the responsibility of individual Muslims, but it is the responsibility of the Muslim ruler who implements real Islamic teachings and provides justice for all people in the society. After providing justice for all, then the matter of punishment comes, and that is the responsibility  of the government which provides justice for all. 
In today's circumstances where there is no real Islamic justice for all, there is no question of implementing Sharia punishment in non Muslim countries.