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 great example of what I'm talking about. One cannot follow something they know so little about, much less make weighty statements about something they know practically nothing about.