He has a daughter to whom he's teaching Judaism. And from what I understand, the young girl is proud of her Jewish ancestry.
Absolutely. My daughter goes to Torah classes. Her mother is very respectful of that. My daughter may not be Jewish yet according to the Halacha, but she is receiving much more Jewish education, culture and pride than I received when I was a child although I am a born Jew.
Also, there is no Christian influence whatsoever in our home because my wife, although of Christian descent, is not observant. Not that I despise Christianity, everybody knows here that I respect Christians (my grandfather was saved by a Catholic priest during WWII, by the way). But I am saying this to emphasize that my daughter is not exposed to conflicting religious influences.
So I think that proper conditions are met for my daughter to become Jewish, even if it will be up to her to decide, ultimately.
Actually, the Rabbi at her shul told me that if she continues to attend Torah classes regularly for a few years, a conversion process could be undertaken before she does her bat mitzva; but I am hesitant about that because I want to respect her liberty of conscience, so maybe I'd rather she waited to be an adult so that she can make that decision on her own.