"We want it to be fair," Minnery said. "I think any law must really respect the freedoms of any Anchorage citizen."  

Excuse me, does that respect for freedoms, include the freedoms of those LGBT citizens also, or just those with "sincerely held beliefs". Are your beliefs so fragile that they are threatened by serving or conducting a business deal with someone who is different? 
Please go practice your  beliefs in the privacy of your home or house of worship, not in the stores of our community or the halls of our government.