Is Westboro Baptist Church a hate group?

[Takeda Shingen]

Well, here's the definition of hate group:

http://en.wikipedia.org/wiki/Hate_group

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 other designated sector of society.

I'd say that this pretty much covers Westboro Baptist. We're not talking about DOMA supporters or Chic-Fil-A here. This is a group that uses hate terminology and engages in disruptive behavior. Seems cut and dry to me.