Sharia Law compatible with the US Constitution?

Al-Shabaab stones mother-of-eight to death for adultery in Somalia. Islamist militants kill Habiba Isak, 30, for violating sharia law in southern town of Sakow

http://www.independent.co.uk/news/world/africa/somalia-al-shabaab-mother-stoned-to-death-adultery-sharia-law-habiba-isak-sakow-a8022446.html