As a library director -- well, that's one BWAHAHAHAHAHAHA!

Seriously, the ability to unionize is determined by the laws of the State. In Idaho, city workers (except for firefighters and cops) can't unionize by State law. This includes all library workers (in city libraries, as opposed to county or district libraries. Library directors in city libraries do NOT work for the city but for the Board of Library Trustees and hence are not covered by that aspect of state law -- but unionizing management seems somehow, well, odd.

Indiana law...it's been several years since I worked in Indiana and the laws may well have changed.