I would watch this very closely if I were the MAFIA, but I wouldn't shut it down. A centralized location for viewing torrented movies could provide a way to monetize torrented media. I would gladly kick in a couple bucks when I watch a movie to help support the art if I got the convenience Popcorn Time purports to have (I've not used it).
I realize that takes a level of strategic thinking the MAFIA aren't known for, but it's worth hoping.