No. During the baptism the Parents are specifically charged with being the teachers of their children in the Catholic Faith. If the parents are not practicing Catholics they cannot set an example to their children.
I'm not catholic, but I play one on tv. Whoops, I mean I'm not catholic, but I am Godfather to my buddy's youngest son. The way I've understood it, I'm to make sure that the parents are doing their job raising their kids in the ways of the church. If anything ever happens to the parents, then I'm to personally take charge of my Godsons religious up bringing.
Every man is bound to fulfil those duties which he has undertaken to perform. Now it has been stated above that godparents take upon themselves the duties of a tutor. Consequently they are bound to watch over their godchildren when there is need for them to do so: for instance when and where children are brought up among unbelievers. But if they are brought up among Catholic Christians, the godparents may well be excused from this responsibility, since it may be presumed that the children will be carefully instructed by their parents. If, however, they perceive in any way that the contrary is the case, they would be bound, as far as they are able, to see to the spiritual welfare of their godchildren.
It would seem that the parents have the primary responsibility.
And, legally speaking, godparents can only intervene so much into their godchildren's raising.
Who knows how many of these parents have already had godparents take them to task and ignored them?
8-) No, that remains the parents' primary responsibility, and is the purpose of a sacramental marriage.