I understand your point, but there's really no way to incorporate political philosophy into chemistry, engineering, math, and a variety of other disciplines (obviously, economics etc. would be more susceptible). The bigger danger, as I see it, is that the questions would most certainly be solicited at least partially from faculty at different universities, and I have no doubt that some would teach specifically to their questions in order to give their students an edge on the exam. That said, there are ways around this (e.g. random computer-generated questions).
Are you kidding me? Do you know what’s going on at our universities right now? Environmental whackoism is being taught in EVERY discipline, including the so-called “hard sciences.” You need to trust me on this.
For example, there is a major move to “dis-establish” so-called “western” math and chemistry as “just one” approach and to institute “non-western” approaches (virtually entrail reading and witchcraft). The engineering, biology, and chemistry departments are being overrun with greens and anti-population people. Hellk, in 1972 I had a biology prof rant about overpopulation and the need to limit human reproduction.
No, I think you are gravely mistaken if you think the sciences and engineering are safe. This would make it far worse.