In terms of solutions, I think it's most effective to engage at the function one is currently at or those which are very close. Leave the political strategies to politicians or people who have politicians' ears. If you're a teacher or active in the PTA, get more children educated in a way that solves the problem. If you're a writer, ...
If you're a regular person with no special situation people connections, take a
starfish approach. It seems common at family gatherings or visits to politely shut up (as the out of town visitor) and just silently endure the local parochial views no matter how uninformed they may be. I did that for a long time until DW said I should speak up lest some of the younger family members get completely and permanently stuck a bubble.
One doesn't have to move back. This can work while visiting. Or on facebook. Or postcards, or whatever.
I've had some success with a strategy of sowing uncertainty in the echo-chamber. The general idea is to avoid debating, but rather introduce a bit of dissonance that challenges their world-view but in a way they still find useful. For example, I'm quite familiar with the "I can't wait until I get my handgun license. I have to talk to a judge first because I got a record. But I need it so I can defend my family against terrorists"-status. This is mostly coming from the young people by the way. In such a case, rather than telling them that the odds that some terrorist is going to show up at their house in Milltown, BFE are infinitesimal I would say something like "Sounds great. Better make sure that it's a real terrorist before you shoot anyone, because unless you got a million witnesses, as soon as someone gets hit, you're probably going to be looking at a minimum of $10,000 in lawyer fees and that's just to get bail and get the process started." My goal here would be first to support the decision, but then to plant the likely previously non-existent idea that shooting at someone comes with a potential shitstorm of legal fallout even if they feel justified(*) in shooting.
(*) I've seen much liked memes justifying "self-defense" while showing pictures of street riots. I'm no legal expert, but I bet if you have a riot going on outside with people smashing up parked cars, you can't go outside and blast away and justify it as self-defense.
Similarly, "My neighborhood is crazy. When I went to [other big scary city], I brought my new gun in my bag, so if I ever come visit you guys, I'll make sure to bring it." Reply: "Oh no. Chicago shootings is almost all gang-related and the gangs keep it within the block more or less. It's not a bunch of meth heads walking into random houses around here. It's all gangs and there aren't any where we live. So please leave the gun at home. Also I think you need a special permit here. It's way more trouble than it's worth." My goal here was to plant the idea that rural gun crime and city gun crime are very different things.
That was all guns. However, it also works on politics or money. "I only make $12 an hour and nobody can live on that". Response ... "I think I calculated from my budget that I spend about $14 per day but of course we own our house." Thus planting the seed that "some people use budgets" + "some people spend very little and yet live well" + "some people actually own houses".
Another example: "I really wanted that [fancy $15000 midsized] car but they wouldn't approve me because of my credit score". Response: "Car loans are a waste a money anyway. The banks totally screw you on the interest. We bought ours in cash. Of course it's an old car, but it was only $5000 and it runs really well after we had a mechanic look it over."
First empathize a bit. Then follow up with some information that creates some uncertainty about their choices or perspective. Then shut up and allow it to germinate.
Of course, sometimes the situation is hopeless e.g. someone throws an "I hate Obama"-tantrum just repeating themselves over and over having essentially nothing else to contribute beyond a primal feeling. It's hard to connect with anything here, so don't. Instead maybe reach them indirectly by talking politics at a slightly higher level with someone else and let them overhear it. There's a lot of value in reaching the "sergeants" or the family heads/trusted perceived experts as well. Trickle-down knowledge. It might require some digging finding out who they are because likely they'll be hiding their knowledge as well, especially if they're the only one around.
Also, there's strength in numbers: Hearing the same message from two people makes it more than twice as loud.
Overall, this "soft-power" approach has been moderately effective in preparing the territory. Baby-steps. But I've seen the beginnings of actual budgets. Spending money on paying down debt instead of buying ammo or car part upgrades. Inquiries about dividends and how one gets them. Plans to save up for house down-payments.
PS:
https://www.amazon.com/American-Nations ... 0143122029 has been very helpful in understanding where people are coming from.