Jews have no reason to read Christian scripture, as they have no reason to read Hindu, Buddhist, Muzzie, Zoroastrian, or any scripture other than the Torah. The Torah is essential to Judaism and without it, there is no Judaism. Thus, Jews reading up and taking care to follow the precepts of their own religion, and leaving the reading up on other religions' texts to adherents of those religions is normal and desirable. To follow the highly complicated precepts of authentic Judaism is a lifelong study, without diverting time for reading up on things which do not concern you.
A fair amount of Christian scripture is Jewish scripture as well. You speak for the observant, the orthodox. The majority are outside of this and have minimal to no understanding or are even hostile to it in the instance of atheist cultural Jews. This is little different from the majority “Christian” identifying public in this country, the majority of whom have little understanding and do not attend church. I’ll suggest that believing Christians are not even close to being a threat to Jews. It’s atheists and Muslims who are.
Jews have no reason to read Christian scripture...
Taken generally, this statement, if applicable, makes everything "Jews" say about Christ's teachings null and void, as admittedly they know not what Yeshua taught - nor what Mosses taught in Deuteronomy, The LORD your God will raise up for you a prophet like me from among your own brothers. You must listen to him.