Maybe this was true in the 1950s and 60s, but a lot of things enshrined by judicial or executive fiat already have democratic support. ex: https://xkcd.com/1431/ Tearing them down is just an exercise in vetocracy.
I'm not entirely sure how this relates to copyright, though - an aspect of law whose main impact on the average person is YouTube or Facebook saying "no, you can't put 50 year old pop songs on your uploads". Here, the problem isn't a majority opposition that needs to be convinced, it's a majority that doesn't care, or doesn't know how to fight in favor of reform.
IA won't be gone because libraries have limitations on copyright damages. In fact, they already paid damages in a settlement with the publishers in the lawsuit. The only reason why there even is an appeal being talked about is because IA and the publishers both agreed to keep the case live through the appeals court.