The "policy change" which would occur is, I think, the opposite of what you mean. You seem to be asking "How would Government behave differently were God allowed His "rightful place?" Please correct me if I'm wrong.
What would actually occur is that, if America, a perviously and predominantly devoutly Christian Nation at the time of our Founding, were to return as a society to one which gave God His due, the change in this country would make it virtually unrecognizable from what we see here today.
People wouldn't need to protest abortions, because they wouldn't be Federally condoned or funded. The "need" for abortions due to rape would drop off the charts in a truly Christian and moral society. Abstinence would again replace birth control, and families would have two parents raising their children in the same household, bound tightly together by the solemn vow of man-woman marriage.
The social ills which plague us, and the resultant decay of our society would turn itself around as hearts are healed through a right-relationship with God.
This is the change that would occur if America, once again, acknowledged God's rightful place in our hearts, our lives, and our country.
President Thomas Jefferson said it well, when he said:
"Can the liberties of a nation be thought secure when we have removed their only firm basis, a conviction in the minds of the people that these liberties are the gift of God? That they are not to be violated but with His wrath? I tremble for my country when I reflect that God is just; that His justice cannot sleep forever."
Jefferson was right. Look around you, and see just how right he was.