I've been doing a bit of reading around religious obligations for circumcision and it is very hard if your religion obligates it.
For Muslims the timing seems very flexible and it doesn't have a scripturally mandated timing. Timing seems to be largely cultural or due to different interpretations by Islamic scholars, with it happening as late as the teens, so a ban on newborn circumcision wouldn't affect the religious obligations of Muslim parents absolutely.
For Orthodox/Conservative Jewish parents it's different. The 8 days after birth is written in scripture and is absolute. The only permitted exception appears to be if the health of the infant boy prevents it, and in those cases it should happen as soon as possible. So for those parents I can see how they would feel very attacked and under siege from any ban and would feel absolutely obligated to go ahead anyway.
There are Jewish denominations who take a more flexible approach, and there are some Jews who choose not to circumcise their newborn sons and have modified versions of the Bris which include celebrating a new member of the community regardless, so it's not absolutely clear cut - albeit most Jewish parents in those groups do still circumcise.
So it's very difficult. Balancing the right of a newborn baby to his bodily autonomy on one side, and actively demanding that a religious group go against one of the fundamental tenets of their faith on the other.
For that group "but it's always been done that way" is viscerally important to them, for everyone else it's less of an issue to say, well it's for your son to decide for himself when he can choose.
But Jewish babies can't have fewer rights than other babies - the risks to them are the same. So I don't know what you do, but it's hard so we do nothing isn't right either.