That is rather surprising that this is happening in a modern parish.
As far as I understand things–you have no obligations here. The obligations are on the Catholic party. The Catholic is the one who should attend Sacramental prep, and the Catholic is the one who has the obligation to bring the children to Mass, etc.
If it could be said that you have any obligation, your obligation is simply not to be a hindrance to your wife as she fulfills her obligations; that is not to be anti-Catholic. You are free to exercise your religion as you see fit. As long as you are not a hindrance or obstacle to your wife and children their practice of the Catholic Faith, there is no problem.
Actually-if I were the pastor or priest I would love to make your acquaintance and talk/debate theology! That would be fun. It is rare to meet someone who can talk theology at an academic level.
In any case, first, try talking directly with the pastor and explaining the situation.
Incidentally----when you read the ECF, they are sort of like the Scriptures. If you want to make them sound like proto-Protestants you can do that just as if you want to make the Scripures teach Protestant as opposed to Catholic doctrine, you can do that. For example, Pope Gelesius seems to anticipate the Lutheran view of the Eucharist in some of his writings. Augustine when it comes to his theology of the Sacraments and the Eucharist appears to be all over the place. In some places he sounds decidedly Catholic, in other places decidedly Protestant.
My point is this: as I see it, the problem with Scriptura Sola—isn’t that it treats the Bible as the supreme authority in the Church, but that it divorces the Church and the Bible from each other. Once you divorce the Bible, the writings of the fathers and such from the context of the Church what winds up happening is that the Scriptures, the fathers, the Church no longer speak with one voice. That is when the discrepancies start to appear and that is when for example it will appear that the Scriptures do not reflect Church teaching, or that the fathers are all over their place in their theology.