They said they would focus their energy on taking "that hateful, icky group to court to try and create more widespread change in Aotearoa".
An explosion in referrals has meant long wait times, cursory assessments and inadequate treatment.
The duo say false information has been spread about their Rainbow Storytime events.
"What worries me is that we are at risk of reawakening a culture war which we thought was concluded several decades ago."
Anti-LGBTQ demonstrations in the US last year rocketed 30-fold compared with 2017 and legal moves to restrict LGBTQ rights are on the rise.
The statistics have been released just ahead of Winter Pride in Queenstown.
Supporters of Kellie-Jay Keen-Minshull were seen giving Nazi salutes and abusing LGBTQ counter-protesters at an event in Australia on Saturday.
Te Tīmatanga sets out to create a traceable, iterative living record of Takatāpui Whakapapa, writes Hāmiora Bailey.
The event is set to bring tens of thousands of people to Sydney.