Well, no.
You don't.
When your "elected leader" decides to import a bunch of voters that you must support then no, you don't have to live with it.
That to secure these rights, Governments are instituted among Men, deriving their just powers from the consent of the governed, — That whenever any Form of Government becomes destructive of these ends, it is the Right of the People to alter or to abolish it, and to institute new Government, laying its foundation on such principles and organizing its powers in such form, as to them shall seem most likely to effect their Safety and Happiness.
I was about to disagree with you and say that since Vermont is, for the most part a very liberal state, given who the Senators and Representative are that they people have got what they chose. I was very very wrong.
Appears as though, that area is represented by Republicans except for one seat, on the state level. Which brings more questions.
Is that why the Governor is placing the refugees there?