The effect of removing keystone species has been extensively studied, particularly with respect to wolves.

Just google "keystone species" and the first result features a case study on grey wolf removal and restoration in Yellowstone: https://www.nature.com/scitable/knowledge/library/keystone-s...

Wolf impact on livestock is minimal, coverage is overblown, and in most states is investigated and compensated for by state authorities.

This is a terrible political move.