Do you feel private organisations and communities shouldn't be able to kick out people they dislike? Because that's how almost all organisations and groups work, real life, internet or otherwise.Do you feel like people should be excluded because of their race? Their gender? Their age? Their sexual orientation? Their religion? Isn't that last one a choice according to a lot of people?
People should be able to make intimate temporary spaces which will sometimes even be exclusionary. However, permanent places in the public sphere should not be exclusionary. When the majority of a society starts feeling free to push around a minority, this is when oppression happens. This is especially true when it comes to politics. People should have freedom of association, so long as it doesn't interfere with other's freedom to pursue happiness.
Doesn't seem very unreasonable to say someone running a hobbyist club or sports team or business should be able to kick out someone they/the people involved can't get along with.
Activists have been seen colluding online, planning to deny their political enemies their hobbies and pastimes. It's called, "No escapism," and it's just a stealth form of harassment for political purposes. In the end, progress is best served by welcoming differences, talking, and sincerely interacting. You don't fight hate by acting hatefully. If you can at all help it, you shouldn't try to reduce violence through violence. You don't increase the world's tolerance by refusing tolerance.
Here's a good litmus test: Are the tactics you're proposing to use similar to the ones people used to use against gay people, or people of the "wrong" religion, or people of the "wrong" race? If so, then you're probably the villain in the story.
Zu jeder Zeit und an jedem Ort bleiben die Taten der Menschen die gleichen.