You don't need the non. The negative is expressed by ne.

Yes, do care about the faith but "don't care" (nonmenefrega) about the confusion coming out of the Vatican. Pray for the pope's loyalty to Christ and His Church. Laudate Deum, the pope's latest apostolic exhortation is a political, climate change statement and little praising and worshipping of God. It goes downhill after the title. And so we don't care for it.