New York already has laws on the books penalizing violence. Murder is a felony. Yet even the threat of execution did not deter Slepian's killer. Harassment, vandalism, arson and assault, wherever they occur, are all against New York's Penal Code. Anyone aggrieved by someone silently praying or handing out literature can already call in the federal marshals.
Some localities have clinic-access laws all their own.
The defendants have retained counsel and incurred significant legal expenses to defend themselves against this baseless lawsuit. They would criminalize nonviolent sit-ins against abortion but would not prohibit identical conduct motivated by other viewpoints. Thus they would penalize people not for how they act, but for why they act. Imagine two people blocking the door of a health facility. The most the AIDS protester could be charged with is a mere violation, the equivalent of a parking ticket.