This is a strawman constantly pushed by regressives and the radical right. Hate speech is very plainly defined as "speech that attacks a person or group on the basis of attributes such as race, religion, ethnic origin, national origin, sex, disability, sexual orientation, or gender identity." and has nothing to do with politics.
The only reason conservatives squeel so loudly whenever Tim takes a moral stance against hate speech, is that conservatives and the kind of people who use hate speech tend to overlap quite closely more often than not.
Thank you for proving my point.