Politics is the machinery which advances a worldview. At the moment, the secular humanistic, pragmatic worldview is making great advances.
Yes, you can legislate morality, or the lack thereof.
I would submit that law in a general sense, is a fixture of morality by it's very nature. There is a needful regulatory aspect (weights and measures, uniform standards, etc), but for the most part, laws are written to favor one behavior at the expense of another.
Laws are written for criminals. Defining criminality is what laws do, and in doing so, a moral position is defined. Thus, moral neutrality is an impossibility, and that is why strict libertarianism, without an informed ethical standard, does and must lead to anarchy. The very root of this country is informed by the Judeo-Christian Ethic. Two hundred years of law is written with that ethical standard in mind. It cannot be changed or replaced by another ethic. It can either stand or fail, and if it fails, the very institutions of governance will invariably crumble to the ground (as they are doing, even now). JUSTICE is destroyed.
"I sought for the key to the greatness of America in her harbors...; in her fertile fields and boundless forests; in her rich mines and vast world commerce; in her public school system and institutions of learning. I sought for it in her democratic Congress and in her matchless Constitution. Not until I went into the churches of America and heard her pulpits aflame with righteousness did I understand the secret of her genius and power. America is great because America is good, and if America ever ceases to be good, America will cease to be great." -Alexis de Tocqueville
If my people, which are called by my name, shall humble themselves, and pray, and seek my face, and turn from their wicked ways; then will I hear from heaven, and will forgive their sin, and will heal their land. -2 Chronicles 7:14
WAKE UP.
REPENT.