And the problem of concentrated benefits (for domestic chicken farmers) and diffuse costs (for everyone else) is a well known problem for democracy. If you're going to invoke this, you might as well also argue that Americans are "are not having trade imbalances", because they elected Trump.
america is not a democracry though, its a union of states.
the states have decided to address the trade imbalance, rather than the people
Domestic farmers are not all in the same company. They compete amongst each other under the same set of rules they must all abide by. I have no idea why they would agree to sell an inferior product that doesn't have to abide by the same set of rules.