According to the DVD notes, Mok's last name is Swagger -- however, due to objections by Mick Jagger's lawyers, his last name is never mentioned.
Just looking at Mok, it's easy to guess who he's modelled after, but I wasn't aware they were planning such an obvious play on Mick's Name. I can see where he wouldn't have been flattered.
Imagine the possibilities for a sequel or remake with parodies of stars since...