Not anymore.
The base just isn't big enough. A lot of them died off, a lot more moved away, and the folks who replaced them in this state are very liberal.
Please quit confusing 1982 and 2002.
Regarding the state of California politics, I think you are just wrong. Many Hispanic voters are conservative to the core. They can definitely be persuaded to vote Republican if we stop making illegal immigrants the focus of our message and start talking about cutting taxes and making it easier do business in this state. A great percentage of the Hispanic community is extremely receptive to this message, as long as they don't think Republicans are targeting them because they are 'lazy' or live off the dole.
They are also very favorably disposed towards George Bush. I happen to have some personal knowledge of this because my wife happens to be Hispanic and most of our relatives on her side of the family voted for Bush.