No. You're an individual. And your likes, dislikes, loves, and hates are irrelevant. They are yours alone; and your welcome to them. As for "hate group"... Don't make me laugh... That is a leftist conjuration designed specifically to villainize a group of peoe who hold a differing point of view. Yet another glaring example of leftist totalitarianism.
They are villainized because of their point of view. It is a group of people who exist solely bound together by hate of another group of people. Hence the name. The left did not make that up.
They have a right to hold that view, but perhaps not being able to broadcast it on the internet is not the worst thing in the world. They can, anyway. They just need to pay more for it.
You know, when I was growing up, Boston was banning rock songs left and right. Henry Miller couldn't be published in this country due to the obscenity. Mailer's
Naked and the Dead had to replace "****" with "fug," which leads the reader to think all the soldiers in that book have a bad head cold. When the courts ruled to open wide the doors of "free speech" and no censorship, they may have gone a tad too far, imo.