This is still achievable, given that voting is a secret ballot. There's no way of telling if the 142,000 people telling him to resign did indeed vote for him--in practice it would just have to be 142,000 registered voters from his district, which is achievable (if, for example, the Nassau County GOP called his bluff and organized an "official" "election"/pull).

But that's beside the point--even if that happened, he still wouldn't resign.