But the original law still exempts name change by marriage . To me it feels like name changes not on official public record should be the target, as in a deliberate pseudonym. Still, what fits under that umbrella? Your twitter handle, if it isn't your legal name would fit, but no one included that since the law was written.
So you chose culture over their personal choice and you and your kid(s) have to live with the consequences. That's a pretty sad thing that could be prevented by only allowing circumcision to be performed when medically necessary.