Most Australians think religious and civil celebrants should be able to refuse to officiate same-sex weddings, a new poll shows.

The Guardian poll of over 1,800 people showed 63 per cent supported the right of celebrants to discriminate, while 43 per cent thought other businesses should be allowed to refuse service for same-sex weddings.

Men were more likely than women to support businesses being allowed to discriminate.

Coalition voters were more likely to back the right to refuse service, with 54 per cent saying they agreed with it.

The poll also addressed other issues that came up during the marriage equality debate.

Almost half of respondents, 42 per cent, supported the right of parents to remove children from classes that do not support a ‘traditional’ view of marriage.

Among Coalition voters, 52 per cent backed parental rights to remove children from classes.

The issue of religious freedom has been debated as parliament moves to legislate marriage equality.

Poll respondents were divided in whether they thought more religious protections in law were necessary, with 37 per cent agreeing, and 42 per cent saying current laws are sufficient.

Amid increasing political instability, 37 per cent of those polled supported an early election, with only 47 per cent agreeing the government should run its full term.

Prime Minister Malcolm Turnbull yesterday ordered parliament to sit until marriage equality is passed before the end of the year.

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