Anyone who challenges the creed of the liberal-progressive ideology is a member of a "hate group". There's just no tolerance for "heresy". 

The Center for Family and Human Rights is a research institute/think tank, founded to monitor and affect the policy debate at the United Nations and other international institutions. Referring to human dignity and a conventional understanding of related law and national sovereignty, it describes its mission as "to defend life and family at international institutions and to publicise the debate". A core value is "Fidelity to the teachings of the Church".

The Southern Poverty Law Center designated C-Fam an anti-LGBT hate group, characterising the institute as being "heavily focused on global anti-LGBT work", citing its opposition to United Nations efforts to protect LGBT rights. 

Presumably, the Catholic Church herself is a "hate group".