Dealing with a constant level of background noise should not be a mandatory fee to participate in society, particularly when there are very clear ways to drastically reduce that background noise (examples already listed in this thread).

"Just move" is never a good suggestion when someone has real grievances with how their society is working.

In cities - where we have a great number of other people around us - we have to accept the noise level which the majority deems tolerable. Most of the noise is from buses and lorries, which we cannot take away unless we want to make life impossible in the cities. But nobody disagrees that excessive noise is intolerable, such as modified motorcycle exhausts, loud parties in a residential building etc.

So I think in this case "just move" is appropriate advice. Or are you going to kick the asses of each and every person who lives in your city until you get your will through?