Sorry but we no longer have religious rights in this country.
Not for Christians.
Unless you are Muslim.
But as regards this being analogous to the Kim Davis case, the critical difference is that the Flight Attendant would have been hired knowing that serving alcohol was part of her job description, and which was not changed as to mean ethanol.
In contrast, Kin Davis was elected to provide marriage licenses, which according to law was only btwn opposite genders of legal age, not btwn men and monkeys, nor btwn children. Changing marriage to being btwn same gender couples would be analogous to defining serving alcohol to mean serving ethanol, if customers wanted it.
If the Muslim was elected to provide licenses to keep rabbits, and that was changed to include keeping humans as political prisoners, then she would have a case.