I think religious texts might have their own laws/principles to follow. My response purely came from what's written in the Old Testament.

If your religion doesn't accept the entire Bible, both Old and New Testament, as your text, then you would have to look at the other applicable documents.

The Old Testament talks about all of these practices mentioned, including circumcision, but then the New Testament provides Jesus' teachings, where he says that he has come in fulfilment of the old laws and the only remaining law is to love your neighbour as yourself. So for most Christian churches, the laws and practices governing the Jews/Israelites before Jesus are not applied/required. There was a crossover time when the first followers of the Christian church did practice circumcision, but that was mostly to be accepted by the early (predominantly Jewish-born) members of the church. It was no longer necessary, neither was it necessary for all 'priests' to be members of a certain tribe, etc, instead they could be from any nation and any background, circumcised or not.

Obviously the Jewish religion does not include the New Testament and the Quran would have its own teachings.