Your Ford Mustang can be registered in California but must pass a California smog check. Since you've already obtained a smog test in your state you can use the weblink below to look up California current emission cutscores for your vehicle and compare it with the emissions results of your current out-of-state test.
The website you want to access in order to find out your Ford Mustang's current California emission cut scores is...
California Emission Cut Scores