What we have in this and similar anti-gay legislation in other states is not a protection of religious freedom but simply people tying their discrimination to a religious belief.
Two highly respected Evangelical authors, Merritt and Powers, give a brief summary way this law is bad Christianity. You can read the article in full here:
http://www.thedailybeast.com/articles/2014/02/23/conservative-christians-selectively-apply-biblical-teachings-in-the-same-sex-marriage-debate.html"Many on the left and right can agree that nobody should be unnecessarily forced to violate their conscience. But in order to violate a Christians conscience, the government would have to force them to affirm something in which they dont believe. This is why the first line of analysis here has to be whether society really believes that baking a wedding cake or arranging flowers or taking pictures (or providing any other service) is an affirmation. This case simply has not been made, nor can it be, because it defies logic. If you lined up 100 married couples and asked them if their florist affirmed their wedding, they would be baffled by the question."
"Strangely, conservative Christians seem to have little interest in this level of analysis and jump right to complaints about their legal and constitutional rights. Its not that these rights dont matter. Rather, they should be a SECONDARY ISSUE for Christians.
Before considering legal rights, Christians wrestling with this issue must first resolve the primary issue of whether the Bible calls Christians to deny services to people who are engaging in behavior they believe violates the teachings of Christianity regarding marriage. The answer is, it does not.
"Nor does the Bible teach that providing such a service should be construed as participation or affirmation. Yet Christian conservatives continue to claim that it does. So it seems that the backers of these bills dont actually believe what they are saying. Because if they truly believe that a vendor service is an affirmation, then they need to explain why it is only gay and lesbian weddings that violate their conscience.
"Before agreeing to provide a good or service for a wedding, Christian vendors must verify that both future spouses have had genuine conversion experiences and are equally yoked (2 Corinthians 6:14) or they will be complicit with joining righteousness with unrighteousness. They must confirm that neither spouse has been unbiblically divorced (Matthew 19). If one has been divorced, vendors should ask why. Or perhaps you dont even have to ask. You may already know that the couples previous marriages ended because they just decided it wasnt working, not because there were biblical grounds for divorce. In which case, you cant provide them a service if you believe such a service is affirming their union."
(Below are two more links on this subject. The first is an attempt at a rebuttal of the above article and the second is a support for the above.
http://erlc.com/article/are-christians-hypocritical-on-weddings-and-conscience-protectionhttp://www.patheos.com/blogs/tonyjones/2014/02/25/can-you-be-pro-gay-and-stay-evangelical-yes-and-no/