Are the hudud (fixed Qur'anic punishments) applied to disbelievers?

Question : Are they applied to disbelievers? To disbelievers?

Answer : Yes, if the disbelievers are in a state of war, their blood is worthless. But if they have a treaty, safe conduct, or are under protection (dhimmis), then the hudud are applied to them regarding what they believe to be forbidden, such as zina (unlawful sexual intercourse), for example. This is why the Prophet (peace and blessings be upon him) applied the hadd for zina to the two Jews; the Jewish man who committed zina with a Jewish woman. As for what they do not believe to be forbidden, they are not punished for it, nor are they prevented from doing it. However, they are prevented from displaying it openly, such as drinking khamr (intoxicants). If they drink khamr, we do not interfere with them, but we prevent them from displaying it openly.
So, what does that mean? He says: If we say that the hadd is applied to a disbeliever, does this include what has been distorted in their scripture, regarding what they believe to be forbidden but not lawful? We say: Yes, it includes it, as long as they adhere to it.