I can. The law is written specifically to protect the decisions made by "Business Owners". Unless the cabbie owns the cab company, company policy rules.
I suggest you read the law. It applies to individuals and not just business owners. SB1062.
And it's not just homosexuals. Anything that may burden a person's exercise of religion can be refused. So the Muslim example I mentioned should be covered. If a pharmacist objects to filling a birth control prescription then they can't be forced to do so. I would a assume that a Jew could not be forced to work on the Sabbath or a Christian on Christmas. And it's not just private individuals. Nothing in this act says that a government employee or a law enforcement official or a teacher can be forced to do anything that might burden their ability to freely practice their religion.