In the United States, the individual states determine who can practice law. Some states have reciprocity with each other-- California isn't one of these states (as in, CA does not take the fact that you passed another bar exam in another state as reason enough to admit you in CA).
Also, as a non ABA accredited law school attendee, you would need to take the "Baby Bar" before you can take the CA bar exam. See
http://www.calbar.ca.gov/state/calba....jsp?cid=10115
for more California specific information.
CA is rumored to be the hardest exam in the nation. I am not sure i agree, as I have not taken every exam in every state. I have taken, and passed on my first attempts, both Massachusetts' and California's bar exams. CA is 3 days, as is NY. However, most states have only 2 day bar examinations.
Also, there is a difference between federal and state courts here, so you must be admitted to the federal court you plan to appear in (generally this is the case) even if you are a member of the bar in the state in which that court sits.
Expensive and LONG process to be admitted, esp. in CA-- so think hard before jumping in.
Best,