Hold With The Hare And Run With The Hounds Meaning

(idiomatic, dated) To remain neutral by attempting to placate two factions or both sides of a controversy.

Example:   Well, if you ask me, Pastor Hawkins is trying to hold with the hare and run with the hounds by opposing casino gambling when his church operates a bingo game every Thursday night.
  Julianna needs to be careful if she keeps holding with the hare and running with the hounds; she might wind up making enemies of both labor and management.