Anarchy or law? What's it to be?

Have you been following that case of the Kentucky town clerk named Kim Davis who was recently jailed for contempt for not carrying out the duties of her office by refusing to issue marriage licenses to gay people?  She claims that in spite of recent Supreme Court rulings, it goes against her moral code. 

Let's take her logic to its ultimate conclusion.  This means that it's OK for anyone to ignore the law of the land if it violates their particular code of ethics.  In other words anarchy.  A basic lawless society where each lives by his/her own standards regardless of whether or not it violates another person's rights.

She deserves to be in jail.  She's an idiot.

But here's what's worse.  There are a significant number of people who actually support her actions.  Have they thoroughly thought this out?   Clearly not.  More idiots...and they vote.