But human rights law, which bans discrimination on sexual orientation, would apply to individual marriage celebrants who are not part of religious organisations.
The Family First poll found 80 per cent of New Zealanders are against making all marriage celebrants perform gay marriages.
But it found a surprisingly high 37 per cent who agree teachers in state schools should "be forced to teach their students that same-sex marriage is equal to traditional marriage" even if this is against their personal beliefs.
Only 53 per cent believe teachers should not be forced to teach that all marriages are equal.
The last Family First/Curia poll on the issue in March 2011, asked: "The law currently defines marriage as only being allowable between a man and a woman. Do you support this?" At that time, 52 per cent said yes and only 42 per cent said no.
MPs are due to debate the bill's second reading on March 13. Ms Wall said if it had support, it was likely to become law in April. "It will be quite a quick process from here on."