But people still believe that Republicans will take away your freedoms and Democrats will solve everything (I don't believe either will solve much).
Voting rules should instill confidence in elections among people who are low information and don't trust the other side. You can't build an election system on telling the other side "trust us" and "you can't prove bad things happened." And elections should be decided quickly and decisively, again to foster faith in the system. The NYC Democratic Primary was a shit show in this regard.
Look at how they do voting in Taiwain--we should do it that way too: https://www.taiwannews.com.tw/en/news/3855762
Democrats tried to "annul" the 2004 and 2016 elections too. They had Congressional hearings over "voter fraud" in Ohio, based on the supposed mismatch between exit polls and the final results. (And that was with a 2 point margin for Bush, vastly bigger than the ones at issue in 2020.)
https://www.salon.com/1999/11/03/sf/
I don't think there's that much ideology to it. The place is corrupt and dysfunctional because it's conditioned itself to be corrupt and dysfunctional. Brownback's Kansas government had similar problems; same in Ohio.