According to Muslims, the Koran is not just divinely inspired, but divinely dictated word for word in the Arabic tongue. It is the normative standard for belief among Muslims. Only a tiny minority of Muslims argue that the Koran need not be taken literally, and this school of thought is quite recent.
and quotations from the New Testament are used to damn Christians. During the "Passion of the Christ" debate, many people took issue with the gospel accounts themselves and deemed the narrative to be unacceptable.
As I recall, quite a few of those misguided critics were self-professed Christians themselves. And Christians are indeed required to defend the whole text of the New Testament, since we hold it to be divinely inspired and to be normative for belief.
The Talmud enjoys no special protection from criticism. What's good for the goose is good for the gander.
The Talmud is not Scripture, let alone the normative Scripture of Judaism. The Torah is. That important distinction being made, there is another point: how do you critique the Talmud? The Koran and New Testament are texts that make declarations and assertions about absolutes. The Talmud is an enormous collection of debates and commentaries about the Torah, usually in the form of disputes over whether interpretation A by Rabbi X is better or worse than interpretation B by Rabbi Y. Very often there is no clear answer. A random quotation from the Talmud, devoid of any context, completely ignores the nature of the text.