Yeah... he might not be aggressive... but he certainly isn't passive.
Well it will help if you are going to church because, if she wants to go with you, then she can learn about God and having a relationship with Him in those ways. Also... there is no greater teacher than example. If your child sees you living for God then she will learn from that as well.
With or without a mixed faith marriage... seeing the love of God and the Word of God active in your life is the best teacher there is.
But... to boil it down to the brass tacks of it all... Were I to find myself in a similar situation I would do all I could to keep trouble to a minimum because that is simply wise and will be the most productive. But, having said that, my child would learn about God, His Word, His Ways and how to have a relationship with Him and nobody would stop or hinder that.
There is nothing more important in my mind. If someone didn't want me to feed my child until they learned what kind of food they liked... I'd find a way to feed that child.