While it is no secret that Shapiro harbors anti-Islamic sentiment, I don’t think Shapiro’s specific comments here can be accused of that.
To answer your question:
He is wrong in claiming that Judeo-Christian values are responsible for the advent of Western civilization — especially when the subtext of that claim is that no other value system would be capable of producing a civilization as advanced as the West.
I won’t go so far as to accuse him of lying on that point. Just of being wrong and deluded.