Voting for the worse people makes things worse.
RCV also tends to work against polarization, since it rewards candidates who are at least acceptable to a broad swath of the electorate.
It may not be the “answer” for all that ails the American political system, but it would help.
ETA: Unlike many other reforms it's also doable within the constraints of the current constitutional order and is hard for SCOTUS to torpedo (though I suppose I shouldn't underestimate SCOTUS).
And that's electoral votes. Counting actual people has the most voted candidate lose all the time.
Approval voting would be an improvement over the status quo but it makes it a lot harder for me to influence the choice between candidates I like less. If I do check my third choice I risk helping them beat my top two. If I don't check my third choice then I risk them losing to even worse options.
In the US there are already people who complain that any election they lose must been “rigged”, including the current occupant of the White House. Choosing Approval Voting over RCV is not going to bring such people around; it’s rhetorical advantages are inconsequential.
We've got MMP here in New Zealand, which is a fantastic improvement over what we had. However the list vote does give politicians some weird power.
Comment moderation is voting too.
As a non-US-American, it is hard to understand for me why this is so hard to explain: the amount of #1 votes is rather a measure for the number of "ultra-fans" that the candidate has.
I think it should be rather easy to find an example in US-American pop culture of some C-list celebrity who has a respectable base of very devoted ultra-fans, but is hated by basically everybody else.
This example should make the fallacy obvious to most people.
So if you're in a heavily red state but you're blue, then vote in the primaries for the more centered Republican. If you're in a heavily blue state but red, do the opposite. Either way this actually helps because more people are centered and we're getting wilder and wilder candidates because there's increased tribalism. They go to the extremes because they get more voters that way. They figured out that the mainstay voters will just end up voting left or right regardless, and that by catering to the extremes it actually pulls the mainstream voters too. (Both Reps and Dems are using this strategy)
Remember, you don't have to vote for the person you actually like.
And keep doing this until we get a sane voting system which can embed actual preference (any of the cardinal systems: i.e. Approval or STAR). This strategy still works with ordinal systems (i.e. Ranked Choice) because a weak spoiler is still really good at splitting the vote (happened in a pretty famous Alaska election).
I think of it this way: in a state where one party is clearly dominant, most offices will end up being held by members of that party. That means that the primaries for that party actually matter more than the general election.
I’ve not quite reached that threshold, but I avoid moving to DC due to the lack of voting rights.