The first three "commandments" are impossible to obey because they relate to a fictional character
The fourth one is just common sense
The fifth is dangerous and does not take in to account individual circumstances
The Sixth and the Eighth, long predate religion, and are in all secular systems of law
The seventh again does not take in to account individual circumstance and when literally translated only refers to extramarital intercourse and nothing else
Breaking the 9th and 10th are the foundation of capitalist society and organized religion, if we all kept them the economies of the world would collapse, as would all the churches.

It's not about having positive effects on the student body. It is about promoting Protestantism over other religions.

They also fail to appreciate that raising the profile of the commandments will only expose their weaknesses more, by drawing them more to the students attention and inviting debate.

In the UK we never had your separation of religion and state, indeed the church was deeply built into the education system, and most of the other state institutions. And guess what, the church is almost dead in any real or meaningful terms.

You are 100 percent correct. The big drawback for Evangelicals is that they mostly believe we got our morality from god. This throws it all back to the Commandments which basically states you should have no gods before YHVH. (Throw in the English language vowels on that if you must.)