Andrew,
I know that threshers have been caught off the Pismo pier and other piers in that area in the past. If you've heard that they have been catching them there then I would definetly go try it. As far as leopards, I have caught countless numbers of leopards off the north side of Morro rock. Inside the bay is also good for catching sharks from shore, with the back bay probably being the best. Right now is prime time too! A good thing about fishing in the bay is there are tons of shovlenose sharks and batrays to keep it interesting along with leopards mixed in. Those are the best places I know of, if you need more specific info on bait,tackle,tides etc... please reply and I will be happy to post everything I know about shark fishing.-Phil