Just because the law doesn't outright say "The real reason we're passing this is so we can lynch us some queer f----t, t----y n-----s and k---s, while making it harder for our own victims and our supporters' victims to come forward and get help," doesn't mean that isn't the exact point of the law. Hello, people, this is Florida we're talking about; Ron DeSantis' stomping grounds. Fascists are all about painting their enemies - marginalized people - as inherent predators that society needs to get rid of by empowering (white) nationalist vigilantism and the (white) nationalist state, and using people's vitriolic emotional reactions against genuine injustices to goad and trick them into being willing dupes for their cause.
Fascists get you thinking people can't be rehabilitated from these kinds of crimes, so they need to be locked up. Locking people up doesn't solve the problem, so they prescribe the death penalty. That won't work, and amid all the fear and death, as well as the persistence of the problem, they'll get people believing this is a problem inherent in certain unchanging people, people who exist only to harm and be burdens to Our Great Society, and so it isn't enough, they say, to kill the rapists - you have to name them. You have to find them. You need to break into their houses in the night, drag them out screaming, and shoot them in the streets, until it is Done, until the Final Solution is achieved - a bloody, illusory lie, that will never come, just gnaw tens, hundreds, thousands, even millions of people to death.
Rein in your intense emotional reactions, and, in spite of that, hold mercy in your hearts. Resist the eternally-punitive nature of the fascists. Down that path lies only destruction, not liberation. By all means, be furious, fight injustice, and reject pacifism. I'm not saying to be pacifist. I'm just echoing OP: mob violence is not the answer.