I'm a long-time politics nerd and spend more time than most people digging into the right's "evidence" for various things they believe.
So much of it's simply made-up that any attempt to engage one of them is incredibly tedious, and it's the exact same bullshit every time you start talking to a new one. You'd need weeks, at least, of consistent and very-careful engagement to fix the fact-gap so you can even begin discussing actual issues. For each one of them.
It's like trying to talk politics with someone and they keep bringing up how the real problem is the lawless Rebel Alliance and we need to trust Emperor Palpatine to set things right, and after a while you figure out they aren't joking or just trying to get under your skin and sincerely believe we live in Star Wars, so now you can't even talk about actual issues in the real world until you manage to convince them that they do not live in Star Wars. You try to talk about crime & policing or whatever and they start talking about how we need to clear all the criminals out of the pirate moon Nar Shaddaa, and... what the fuck do you even do with that? It's disheartening.
[EDIT] Real world example: Local republican politician comes to my door while campaigning and is talking about how local crime (in our amazingly safe, rather rich small town) is WAY UP and out of control and that's why we need more money for the police. I have my strong suspicions based on practically every other time this claim has been made by a Republican, and also the fact that our town is conspicuously safe and rich, but I don't fact-check her on the spot and just let her finish the spiel and politely disengage, but that was like half of her message (the rest was, I shit you not, about trans athletes, JFC).
Of course the police department's own stats fail to back up any of what she was saying, when I check right after the conversation. I mean, obviously they do, there was no reason to expect otherwise, but I did check, because that's how I roll.
Without even digging into the other half of what she was presenting, half of her message right off the bat, half of what she chose to present as important, was over a completely made-up issue. Not real at all.
They probably have data that these talking points have the best positive reaction rate for the area on average.
The fact that it didn't matter to you isn't important to them, it's the aggregate as that is the end goal. They may even disagree with it entirely and agree with your stance.
Yeah, I'm sure that's why the politician was selling those particular issues.
Those work, though, because you run into he same perspectives among Republican voters, because their media are telling them it's true and they don't bother to check (the ones who do, presumably, move away from identifying as Republicans the dozenth time they catch such an "error" in a given day of watching Fox).