Your freedom of religion doesn’t permit you to use it to violate the civil rights of others.

This was supported by the US Supreme Court in 1968 in the Newman v. Piggie Park Enterprises, Inc. case. Maurice Bessinger ran a chain of barbecue restaurants in South Carolina. His “religious beliefs” were such that he believed that God didn’t intend for different races to mix, and he was a firm segregationist as a result. His restaurants seated white people only. Non-whites were permitted to order food for take-out, but were not permitted to sit in the dining area with the white folk. When the Civil Rights Act of 1964 was passed, Bessinger continued with his segregation, and defended his defying of the law by claiming his “religious beliefs”. He didn’t win his case. The public accommodations right of non-white people to have the same dining and shopping options as white people trumped the right of Bessinger to be a segregationist due to “religious beliefs”.

The same situation applies to Barronelle Stutzman of Arlene’s Flowers. The right of LGBT people to have the same shopping options as everyone else takes precedence over Stutzman’s “religious beliefs”. Plus, she didn’t do herself any favors when she claimed her primary concern was that she would be seen as “endorsing” same sex marriage by providing flowers as ordered — yet she admitted that she would not be seen as “endorsing Islam” if she provided flowers for a Muslim wedding, or “endorsing atheism” if she provided flowers for a wedding between two atheists. This was evidence that she was using “religious beliefs” as a cloak for bigotry.