It's amazing how people in this thread spout absolutely false information about Islam with so much authority. Really makes you question what you read on Reddit...

In the Bible and Quran, there are no laws for non-Jews, non-Christians, and non-Muslims

Yes there are, the jizya is to be collected from them, etc. There are entire volumes of fiqh ( jurisprudence) written on this subject.

Each respective faiths' laws only apply to those in that faith.

Not totally, there is a degree of autonomy given to noon Muslims in an Islamic system. For example, if there is a crime among Jews they can settle it among themselves by their own law or on side can bring it to the Islamic judge. However, everyone has to obey certain laws , like public modesty, etc. Like I said this a very extensive topic but there is no dearth of writing on it.

So there is no precedent to dictate how others act.

Yes there is, at least for Islam the ayah of jizya is in the ninth chapter

Fight those who do not believe in Allah or in the Last Day and who do not consider unlawful what Allah and His Messenger have made unlawful and who do not adopt the religion of truth from those who were given the Scripture - [fight] until they give the jizyah willingly while they are humbled

But this law applies to you alone, not anyone else. It's up to the respective power to enforce the law and punish offenders, not you. So it's up to the secular state to hire police officers to enforce the law, not you. It's up to God to judge and punish others, not you.

Source, not an expert in Christianity but you're statements about Islam make me skeptical