For it is always better to obey God than man (Acts 5:29).
And while this is the case, it is not always strategic or prudent to do so.
For example, running red lights even though you don't believe in the human authority of the police officer that issues the ticket is not wise.
You will owe the state hundreds of dollars in fees before the law or the grassroots will side in your favor.
Repeated offenses will get your freedom to drive taken away. Too much to lose, not much to gain.
In the case of Eric Garner, it was unwise to resist arrest, although under a biblical framework the police had no authority to arrest him, for they were enforcing petty tax laws, which I'd argued go over and beyond any biblical limit.
However, it is absolutely OK for that same police officer to overlook and not enforce those laws.
And such is the case with Kim Davis.