Péter Magyar's party defeated anti-LGBTQ Viktor Orbán last month
Document contains testimonies of two gay married men
Advocacy groups say proposal would ‘contradict European standards’
Designation of 'international LGBT movement' as extremist is blueprint for other countries
More than 1.2 million people backed campaign
Ruling issued days after voters outed Prime Minister Viktor Orbán
'Moral truth and compassion always overcome ignorant hate'