Personally, I think this has a lot to do with bloomberg himself, the liberals in general are against mila altogether. (Unless the mbp parsha is the beginning of attempts to ban mila ch”v.) He seems to have some Jewish guilt, to put it nicely. Perhaps one of the psychologists here can give us some insight.
Ironically, in the news today the AAP is recommending circumcision for newborn boys, albeit with painkillers. America will be losing money in health costs to fight infection because less boys are being circumcised nowadays. So if the goal here is to prevent infection, NY should force parents to circumcise their boys. (not that it’s ok according to halacha, just saying according to the same “don’t put kids at risk of infection logic”.) And I know it’s easier to ban something than enforce a positive, but we do mandate (with some exceptions) immunizations for kids.