You are right, nothing will be done. In fact, the already homosexualized Catholic diocese will be emboldened to affirm and promote perversion even more, without so much as a peep from bishops.
what will be done is witholding communion from them. Beyond this, the archbishop can't do much, right? He's already vocally opposed the bill and the Church will continue to oppose it
And Cuomo etc. have already excommunicated themselves.