I think that mob incitement is an excuse used for selective enforcement of the rules. If you're on the left, you're clearly operating under different rules: https://twitter.com/LoriLightfoot/status/1523844510735908864
You're a fluent speaker of English. Please don't pretend not to know that "call to arms" is an idiomatic expression.
This contrasts severely with the crowd that Trump was addressing at the time. Their spaces were filled with calls to weaponization, civil wars and conspiracies against the system itself. The messages were written after people had made threats and refused to engage with the system. This is why it was so dangerous at the time, as we can now see clearly with insight after what ultimately happened.
Lori Lightfoot's call to arms is not happening within that context.
Simply looking at the dictionary will enlighten you: "something that makes people want to take action and get involved in an attempt to deal with a bad situation. He issued a call to arms on behalf of the environment."
Using this example from Macmillan Dictionary, no one is gathering firearms to shoot at the wind. What they are doing is paying attention to the issue and challenging the opposition within the scope of the law and political system.
The LGBTQ+ community is simply lawyering up, making noise about upcoming laws, legally protesting and pushing back using the existing political system. This is usually in the form of strongly written letters to representatives.
All of this is not only legal, it is encouraged behavior in the American political system.
In the end, being LGBTQ+ is not a political identity. It is not "leftist" or "rightist". It is simply the way some people are. Some of them extremist on the left while others are extremist on the right. LGBTQ+ individuals are found on the entire spectrum of American politics.
When someone gets banned, a reason might be given, but context never is.
If I you give me a teddy bear with a pun that I hate on it and I tell you "I will kill you" with a smile on my face, that's not a threat.
It depends on the context.
The first person would go to jail. The second person would not.
Analyzing the context of any situation is why we have a legal system with judges and juries.