ACT Right to Life chairwoman Bev Cains said the response showed the strength of the "silent majority" and Greens Minister Shane Rattenbury would do well to heed them.

Mr Rattenbury has released a draft bill that would ban protests outside the Moore Street health building which houses the abortion clinic. The bill is out for public discussion and expected to be introduced by the end of the year.

Right to Life holds a regular Friday prayer vigil at the entrance to the building, which Mr Rattenbury is seeking to outlaw, saying women should not have to "run the gauntlet" to access a legal health service.

Mrs Cains wrote to Chief Minister Andrew Barr and all other Assembly members this week urging them to oppose Mr Rattenbury's move, which she has described as a "ratbag" idea unfairly targeting a peaceful event.

Right to Life had begun the petition in April when the idea was first raised. It had attracted 699 signatures since, with another 464 signatures in the first two days of last week when Mr Rattenbury released his draft bill.

The reaction was "an indication of the size of the opposition that will greet Mr Rattenbury's anti-democratic moves should he proceed to implement them", Mrs Cains told Mr Barr.

"That anger will undoubtedly extend to any Assembly members who support the Justice Minister's unjust actions."

Mrs Cains also pointed to the response to an informal online poll in the Canberra Times, in which 76 per cent of the 2805 respondents opposed the move.

"We realise that some of those who participated in the poll might not agree with our association's views on abortion but the issue is wider than that and has the potential to attract support against a ban from a wide cross-section of the community."

Mrs Cains said some of the protesters were willing to continue their action in the face of a ban.

And she suggested also that a number of Canberrans wanted to see change to abortion law.

"I honestly believe that if more voters in the ACT knew what the current legislation is regarding abortion, they would be shocked and prepared to support a change," she said. "When the legislation concerning abortion was taken out of the criminal code, it means effectively that abortion is available for any reason or no reason, to a woman requesting it."