The entire point of elected office is so they can make the tough decisions rather than having to poll the entire city. If you dont like it then vote and campaign in the next election.
Plebiscite are terrible unless you can guarantee (impossible) that a special interest group on either end wont commandeer a large portion of the population in a mob mentality and scare off dissent. You can't actually get a representative sample because only those motivated to vote will go out and vote, and dislike or hatred of a project is far more motivating than liking it but not understanding the financial complexities.
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