"“The idea that church can have no influence or involvement in the operation of the state is absolutely antithetical to the objectives and vision of our country.”
A direct quote from the article and I saw him say it myself on youtube. This last weekend.
"involvement in the operation of the state".
Thus the Congressional Chaplain is unconstitutional. Military chaplains likewise unconstitutional. Input from the public square by people of faith unconstitutional. Priests, Pastors and Rabbis in Congress unconstitutional. Catholic Hospitals treating patients at public expense unconstitutional. Jewish homeless shelters housing the homeless at public expense unconstitutional. Chaplains presiding over the dead at their funerals at public military hospitals unconstitutional. Is this your position?
Of course this is not what Santorum was talking about but let's take it to the extreme of your nutty argument.