It is also a Club founded to keep the LGBTQ community free of anointed gatekeepers and machine politics
This is comically hypocritical given that you'll be gatekept out of any group like this the moment you express any opinion they disagree with, speaking as a gay guy myself.
In this particular context, "I believe Joe Biden should be the elected to another term" in apparently objectionable.
Similarly, "I believe that the murder of 1000 Israeli citizens on October 7th was bad, and also that the Netanyahu government is atrocious and its military response has been grossly disproportionate and involved multiple war crimes" is enough to get you ejected from plenty of leftist spaces that insist that the October 7th attacks must be celebrated as an act of radical resistance.
I mean...good luck. They have teams of people betting that you won't pull the trigger and vote for Trump. I also think your group won't. Kind of an empty threat.
That's not exactly how it works. People could get motivated to run for office and actually start changing the makeup of the Democrats. The leadership we have today stems from a very long of complacency. And our choices may be functionally limited to two groups. Their makeup isn't so limited.
The Harvey Milk LGBTQ Democratic Club added that "while our stance doesn't extend to the November 2024 general elections, we aim to send a powerful signal to President Biden and the Democratic establishment that our base demands to be heard."
If I understand this correctly, they are saying "do better" to Biden but are still voting for him.