Classify Westboro Baptist Church as Hate Group

Westboro Baptist Church, a controversial activist group based in Topeka, Kansas, can be classified as a hate group by definition:
A hate group is an organized group or movement that advocates and practices hatred, hostility, or violence towards members of a race, ethnicity, religion, gender, sexual orientation or any other designated sector of society (Wikipedia.org)
Westboro Baptist Church does not practice violence, but practice hostility and hatred, therefore a candidate for classification as a hate group.