Stephen wrote:
"I would argue that even though the Blaine Amendment was originally intended to prevent public money (used to fund Protestant-oriented public schools) from helping Catholic schools, it now serves as an appropriate barrier between church and state and is in line with the First Amendment to the Constitution. It has also prevented interference by government into the policies of parochial schools."

Wrong, it is not in line with the First Amendment. It is in line with Jefferson's misinterpretation of the First Amendment, but Jefferson's and Madison's point of view was defeated by the 78% Federalist majority of the First Congress which donated land and money to the Jesuits to create Georgetown University.

Catholic schools are accredited and Catholic school teachers are certified teachers.

The accrediting agencies and most of the schools granting certification are controlled by anti-Catholic bigots, and were founded by anti-Catholic bigots, but that is another issue.