My understanding is as follows: there is love crime -- in fact, there are many sorts of it. Homosexualism, let us say. Consensual sex with adolescents, artificially drawn child pornography, that kind of stuff. Illicit drug trade. Grey market entrepreneurship and tax evasion. Mass download of research articles, creation and maintenance of internet libraries of books or musical records, etc. Striving to overthrow oppressive governments, too.
All the other crime is hate crime. This includes all varieties of murder, assault and battery, rape, robbery, burglary, theft etc.