Comment Ballots have one big advantage... (Score 4, Insightful) 433
You can have ballots without being able to identify who cast them, which is to say, people can vote without being targeted for their votes if the wrong people get access to the ballots.
Vote fraud is, by and large, very close to a complete non-issue in the US. There's a handful of people doing individual-scale vote fraud, probably, and they seem to get caught, and larger-scale things are vanishingly rare, because nearly everyone agrees that this would be bad, and they're on the lookout for it. So, yeah, we have definitely had some known cases, but... Chicago's big illicit voting problems were in the 1960s, and the reason that's still the go-to example is that it's one of the only ones we've had.
Vote suppression is at least as effective and much easier to get away with.
Any of the alternatives like ranked-choice or strict approval would produce better results, in general. And we might yet get there some day; ranked choice voting is actually very popular with people, but not as popular with political parties.
(You can, BTW, safely disregard the surreal conspiracy theories about how much fraud there is, or you can spend a bit of time reading careful writeups of them, but honestly, once you see the list of Minnesota cities presented as evidence of fraud in Michigan, you sort of know what the quality of work you're looking at is going to be.)