Nowhere in this statement did Thomas and Alito address how the liberty of all persons is to be balanced against the "liberty" of those persons in the population who do not believe in same-sex marriage. They are implying that the rights of these people are more important than, and must be given precedence over, the rights of others, of all sexual orientations, who do not hold this belief and who are entitled under the U.S. Constitution to equal protection of the law.
The Obergefell decision addressed only the right to contract a marriage under civil law. It is certain that people who enter into same-sex marriages do not have a religious belief against it. Moreover, people of every religion have the right to enter a marriage according to the requirements of their respective faiths and undergo their faith's marriage rites and to choose whom to marry.
Someone should make Thomas and Alito aware that the First Amendment prohibits the government from establishing a religion.
Of course, there are further issues in this case of a public employee's right to refuse to perform the duties of his/her job.
To be totally honest, what they should have ruled is government needs to get out of marriage. Let the religions have their own marriage along with their own criteria and if they want to marry a gay couple, then it's up to them, not the government.
So what does equal protection under the law have to do with this? Government benefits.
You and Natural Citizen are arguing against contracting a marriage under civil law. But legal marriage involves not only government benefits, but also inheritance rights, the right to make medical decisions on behalf of an incapable spouse, tax treatment, court testimony in criminal cases, the rights of military spouses, and I'm sure there is more. These matters have nothing to do with religion, but your proposal would create the massive chaos of government having to figure out how to administer these rights with respect to each and every religion and each and every individual. Moreover, there are plenty of people who don't have a religion. What are they supposed to do?
Your proposal would require a massive re-write of many laws and regulations. It's absurd.
And all because of some people who are upset about whom some stranger marries. Idiotic.