I don't think that mining would be very effective.  My guess would be that the Iranians aren't going to make a move until either the embargo takes hold in 6 months or the Israelis decide that now is a good time to attack nuclear facilities.

Either way, I think that the first move would be the use of suicide speedboats, a la USS Cole. An opening move that sunk an an aircraft carrier present an obstacle to navigation, and force US forces to run air operations from much further afield. Take out air support, and the range of actions available to the US/UK drop pretty rapidly.

And I'll give my consent to any government that does not deny a man a living wage-Billy Bragg