Should half&half neglect one half?

This is Jacob again. This will be short, as I have many things to do.  But none more important at this very moment than to write to you, my dear reader.  I just watched a video about a man from Kuwait who learned that on the basis of having a maternal grandmother who had been born a Jew, he himself is a Jew, according to Jewish law.  After learning this, while living in Canada, he decided to move to Israel and embrace his Judaism.  He took a Jewish wife and has Jewish children.  But while he acknowledges at the beginning of the video that Jewishness is matrilineal and Islam patrilineal, he fails to acknowledge his Islamicness,  He learns that a Jew never stops being a Jew, if he is born a Jew on the  basis of his lineage on his mother's side.  But on the basis of his lineage on his father's side, he is also a Muslim.  But he doesn't acknowledge this, and embraces his Jewish side, attending synagogue, observing holidays and raising his kids Jewish.  But would it be more interesting and courageous to respect both of his parent's religion and practice both?  Teach both Christianity and Islam to his Children?  What do you think?