No. They don't.
On the other hand, virtually every one that offers any "rules" at all, offers something that is eerily similar to what you probably call "The Golden Rule".
Just a few...
http://www.unification.net/ws/theme015.htm
No. It won't. Saying to those of your fellow citizens "We're going to enshrine the passage out of
my book, because more of us read my book, and besides, it means the same thing," is disrespectful in the extreme to those who revere some other book. Wars are fought over such things. People are dying every day, right now, over such things. The
only way to prevent such conflict is to have enough respect for everyone's differing beliefs to avoid such conflicts while striving to find common ground. That should sound familiar.
Again, incorrect. Secular means, quite literally "not pertaining to or connected with religion". And again, your confusion is as understandable as it is common. Certain political and social quarters want very much for you to believe "freedom of religion - not freedom from religion" lie, so the repeat it wherever they can. The fact is that the framers of our Constitution very carefully and pointedly, (and with no small amount of debate, I might add), excluded the citation of any religious text or precept as the authority from which government and law would be handed down. The text of that document makes it quite clear, a study of the other works of these men makes it clearer still; they were religious men who understood that the influence of any religion on the government they were designing was a threat to all the citizens who embraced any other religion. Indeed, it was the notion that a particular Christian sect might hold sway that galvanized the movement to ratify our very secular Constitution. They very clearly wanted a separation "between church and state" and yes, at least one of them has used those very words.
So yes, for our government to enshrine
any sectarian dogma is "bad". That government was created to protect the right of every single one of it's citizens to embrace such dogma as he or she sees fit. It most certainly was not created to do so itself.