That's not complicated -- just post each vote in a different box (paper can be different colours) and count them separately. OK it may take a day or two to find out who your local parish councillor is. Whoopee.
You probably start to get fuzzy about your state rep/senator. And are pretty much clueless about the county Sheriff, Board of Selectmen, and Register of Deeds.
In practice, a lot of the positions lower down on the list are running unopposed or have been in their position and seemed to have done fine for a while. Of course, this being Massachusetts, a lot of these seats are pretty much Democrat locks anyway.
We tend to have 5 or 6 layers of government too so I don’t see the problem there.
I have no issue with European countries sovereign decisions, but when Europeans project their ideas on Americans I take great offense.