Separation of Church and State Controversy

Nothing I can say will persuade those who have already have made up their minds but maybe there are a few sitting astride a fence who might find an opinion useful.
Wikipedia has a good article on the subject with some sources which I found useful. Notably our founding father's views on the subject tend to support the view that the First Amendment does hold that there is a Separation of Church and State. Both Thomas Jefferson and James Madison wrote letters stating that such was the case. The Supreme Court upheld that view both in 1878 and 1947.
Aside from the legalities; common sense, logic, and history would cry out for Separation even if there were no First Amendment implicitly stating such. Throughout American history, up until recently, Churches supported such a Separation; it prevented religious views contrary to their own from being "enforced" through the State's powers. Wikipedia pointed out that the Catholic Church states in their Syllabus of Errors, number 55, that there should be a separation of the State from the Church. What goes one way logically should go the other--meaning that Religion should not interfere with the State and its operation. The church's purview is with morals and ethics. Nothing about the illegal alien issue really cries out for redress by the church. Any issues of maltreatment lies with illegal aliens putting themselves in a situation that places them in lawful and societal jeopardy. They are responsible for their own actions, like everyone else. Mexican, and other's, problems are those State's to solve and should not fall on the U.S. to solve.
I doubt if Mexico would put up with thousands of U.S. citizens ignoring their borders and sovereignty. That they expect the U.S. to ignore sovereignty while they jealously guard their own is the height of hypocrisy.