Re: Former Christian but wife still believes
There isn't such thing as a "former" Christian. One is saved through the transforming operation of the Holy Spirit. After one is saved, the Holy Spirit resides in them and continues their transformation through sanctification. You may have heard the word of God and were moved in the direction of becoming a Christian and it just didn't happen. That is akin to the Word falling among rocks and not taking root (parable). But don't be mistaken, if you are not a Christian now, you never were.
1 Cor Ch 7: If you and your wife are willing to live together you can do so with the blessing of scripture. It does make things difficult, as you are experiencing. Two rational people can figure out how to make it work under the circumstances. As for the kids, we each get to the point where we make our own decision regarding Christ/God. Let them go to church with your wife; the moral teachings is not a bad alternative. It won't make them Christians, it will just give them another point of view. At some point in their life they will arrive at a decision point regarding their faith or lack thereof.