I disagree.
I don't like TR in the slightest. I think he's a troublemaking thug and a racist.
Having just now listed to the debate, I don't think every point of his was utterly destroyed. Far from it. I think that's comforting to believe because it substitutes tribal right-think for difficult moral and societal questions. (TR starts at about 29 mins).
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TR cited various acts and sayings drawn on the Quran or hadith that to modern secular ears are barbaric (treatment of homosexuals, those who have sex outside marriage, child marriage, treatment of prisoners of war, cleansing Muslim lands of Jews and Christians), in support of the argument that the West should be 'suspicious' of Islam.
The arguments against were often either: "that's not what the Quran says" or "it is what the Quran/hadith say, but it's been taken out of context". Firstly, those arguments against are somewhat in tension with each other.
TR's basic response was: "when you look at how Islam is practiced across the world today, at things like rates of child marriage, treatment of prisoners of war, punishments for adultery and homosexuality, it is not unreasonable to be "suspicious".
I agree: I don't think it's at all unreasonable to be suspicious of any religion whose actual practice, justified on scriptural bases, results in those things.
Not when it's barbaric behaviour of Christian societies (past or present), not when it's Hinduism, not when it's Islam. (Nor, for that matter, when it's secular belief systems like fascism or communism).
OP, what was it about the students' arguments that you thought was so conclusive?