If you want religious propaganda, go to a religious school. If you want atheist propaganda, go to a private nonsectarian school.
That isn't what I said or meant. A neutral position would force me to agree with one of the things this teacher said, "religion is not "connected with morality". Morality is directly affected by religious beliefs, whether that "religion" is one that is recognized as a religion or not.
Helping students to reconcile some of the things that a school is teaching with the religious beliefs that the students bring to school creates a difficult balancing act, mostly because it recognizes that students are not blank slates.
Any society's common denominators, such as, "stealing is wrong", might tread on the "religious" beliefs of someone, so forced neutrality would prevent schools from teaching that stealing is wrong. Teaching that all morality is individual & therefore, relative, is also contrary to the religious beliefs of some.