Fortunate, I reread your statement carefully and I am going to say what I think you mean. I could definitely be wrong.
This is called mirroring and it is supposed to confirm that the listener (me) understands what they are being told. I will repeat in my own words what I think you were saying. Then you can correct me if I misunderstood any part or the whole.
1) The university is in the wrong because they didn't investigate the situation well enough. For that reason, in this particular case, the professor was correct to refuse the student's request.
2) If the university had investigated properly and the man's request had been found to be legitimate, then the university's decision to allow him not to join the group would have been correct.
3) The university's decision would be correct,( letting him avoid the group), not for his sake, but because the majority of people would be better off not having to work with him.
4) In cases like this, when an individual is refusing to associate with certain people, a group of Jewish lesbian aboriginals for example, it serves the greater good to accommodate the greasy wheel student instead of forcing the greasy wheel student to work with the group.
Is that a reasonably fair and complete description of your opinion?