Once again Daniel, actually read my posts. Since Judaism is matrilineal, and not dependent on religion, the answer to your question is YES! It is about bloodlines, not religion following. As more than a religion, as a civilization, as a people, Etc. Religion is NOT the deciding factor of whom the child is.
Following the 13 laws of Maimonides, one must only love God, never doubt him, bend to his will, have faith in all of God’s writings and the prophecy of Moses, Etc., to be considered a Jew.
So then, why would it take a mother who believes in her religion to bear a child who was not of a religion, but of a civilization/people Etc.?
I wholly disagree that one must follow rabbinical teachings and have faith in Judaism to be a Jew.
If it were so, up to 80% of the most famous Jews would never have been famous Jewish people–Albert Einstein, Louis Brandeis, Franz Kafka, George Gershwin, and Camille Pissarri…these people were all secular, not orthodox. They didn’t necessarily believe all that was told to them about following Judaism, and some others have out and outright rejected the religion–it doesn’t change who they are though.
This quote by Alan Dershowitz pretty much tells it the way I feel:
In his opinion, IMO, you are not disqualified from being a Jew for not believing. The same goes for conversion. especially one who converts for marriage.
But hey, what the fuck do I know…I’m just a Jewish free-thinker, exactly as described above. 
-Sam