In order to get a doctor's recommendation for MMJ, you will need a California ID/DL. The DMV says it takes about 2 weeks to get the ID in the mail, but I've gotten my ID within a week's time before.

Then to enter the dispensaries, all you need is the California ID/DL and the doctor's recommendation. The county/state ID cards are completely optional. Every club has their own guidelines. There are some clubs that require the ID card, so you should probably call ahead of time to make sure.