Context matters. The LGBTQ+ community is not known for having weapons and for bringing those to the table during debates. It is not known for committing violence either.
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.