You have misunderstood the argument.
Because I am sane, and it is an insane 'argument' (really, deranged rambling).
There is a connection. It doesnt mean though, that you can rectify the behavior of one (extreme), with the behavior of the other extreme.
No one is arguing for any kind of rectification. You can't reform these psychos, just like no one can fix you. Antifa is a matter of defence, for regular people, against these gun toting psychos, as a last line when there are not enough officers or, when officers sympathise with these psychos, which is the most usual case.
False comparison. Antifa is not the police (state regulated).
It's not a false comparison, it's an analogy. Antifa don't have to be state sponsored for the analogy at all. Bad actors, and the people who fight against them. It's a good analogy, you're arguing against it because it curb stomps the bullshit coming out of your mouth.
I can only hope you and these gun toting psychos have padded cells next to each other one day; you can entertain each other.