What laws are gay people breaking? Anti-sodomy laws were overturned decade ago. States like Maine gave SSM based on popular vote. District courts stroke anti-discrimination laws over these years for some time. DOMA was declared unconstitutional two years ago. SCOTUS did not create any laws when it comes to gay marriage. It only declared that banning gay marriage in 14 states in USA was not constitutional.
On the other hand, Davis is elected official and it is her duty to uphold constitution of the country and the state. If she cannot do that, she needs to resign and her stance is what is it, criminal by contempt of court. She is in jail where she belong. Nobody is taking her religious conviction away, but her religious beliefs cannot interfere with the duties of elected officials.
everything else you had said is just red herring.