Willing to go to church. What does that prove? That proves he's willing to go to church, but that isn't a relationship with God, that's going and sitting in a building. Maybe it could possibly lean to something, but it may not. There may be a few stories of Christians marrying non-Christians working out, but from what i hear the majority end poorly. Typically because the non-Christian spouse changes from accepting to against.
And if you yourself are not consistent in your faith, what is he to learn from you as well?
Things i always encourage people considering marrying non-Christians to ask themselves.
-If you have kids and your husband never gets saved, how will you explain to your children that a) their father is going to hell b) that this is the person you chose to be their father?
-What happens if he becomes indifferent or against your faith after marriage?
-How will you raise your kids when it comes to religion?
-If he supports your choice to raise them as Christians but he isn't one himself and (as is usually the case) doesn't hide it how will you explain to your children why you married a man that is not a Christian? What kind of value does that place on what you believe in the eyes of your children?
-If your husband dies, even if it's 30 years from now, and never gets saved, how will you feel knowing you chose to spend your life with someone that was bound for hell? How will you cope with that, on top of the loss of your husband?
I think you can see where i'm going with this and realize there are more questions to be asked.
Also, men are to be the spiritual head of the household. How can you have a Godly marriage with someone who is not Godly? How can he be the spiritual head of the family if he is not a believer and not saved?