On the Kim Davis Controversy: Should a Christian Judge Refuse to Grant a Divorce Decree?

On his blog, evangelical聽Judge Tim Fall addresses the situation of being required to grant divorce decrees.

Let鈥檚 choose a different situation. My understanding of the Bible says divorce is prohibited except when certain circumstances exist. Can I refuse to grant a divorce decree for a couple who meets the legal requirements for marital dissolution but who do not meet the biblical requirements?

He says he grants a divorce if the couple meets the legal requirements:

On a divorce case, I check the paperwork and if the people meet the legal requirements for a divorce I grant it. I look on the decree as a judicial declaration that these people are entitled to a divorce under the laws of my state. I take this seriously and sign only those papers that meet every requirement.

He also addresses his stance on marrying gay couples which you can read at his blog.
Fall cites Scripture demonstrating that God doesn’t favor divorce. Will Christians now begin refusing to do their jobs regarding the legal aspects of terminating a marriage?
As Fall points out in his article, there has been no call from Christian leaders to block divorces based on conscience. To me, this lack of consistency is an indicator that Davis is being used by her handlers and other Christian leaders to rouse the rabble and create the appearance of persecution.
UPDATE: A TN judge wants a place in the limelight; denies a straight couple a divorce and blames the same-sex marriage ruling for his stance.