Your claim that he was "alt-left" reads like frivolous scapegoating and requires evidence. Behavior suggests psychopath. If your "alt-left" is just a label for "woke" or equivalent, it is ridiculous to associate empathy with abuse and murder.
If your suggestion was that all of the LGBTQ+ would be alt-left, it's also ridiculous, as they have existed everywhere all the time as a minority, including among you, in your family, etc. It's not because in some places they are repressed and suppressed that they don't exist.
There is no evidence suggesting a link between the LGBTQ+ and murder. Statistical glitches, like an individual case, are only that.
Your claim that the LGBTQ+ don't face persecution is contradicted by direct evidence, your own post, appealing to iron-age savagery and misrepresenting the text into something else, to advocate for the murder of the LGBTQ+.
So you're projecting your own abject murderous ideology against those who fight savagery and the innocent.
Then I didn't check the source, but Fox News is notoriously unreliable propaganda, known for misrepresentation and embedding disinformation with news. The original post itself is likely twisting it.