Religious schools should be forced to hire LGBTI teachers and all church exemptions to anti-discrimination law should be abolished, the "yes" campaign has told Philip Ruddock's religious freedom inquiry.

As major churches push to have their existing exemptions codified in a new law, the same-sex marriage victors have asked for those rights to be repealed to "prevent discrimination" by religious groups.

Churches currently enjoy the right to hire and fire on the basis of gender and sexuality, in line with their religious teaching, as a Western Australian school did with a gay relief teacher in October last year.

"Yes" supporters are concerned discriminatory practices could be enshrined under "religious freedom" laws. Credit:Daniel Munoz

But the Equality Campaign - joined by a prominent group of NSW politicians - wants those rights unwound or at least pared back to apply only to priests, ministers and bishops.