Character trumps competence, EVERY SINGLE TIME
we can teach a man to shoot a gun. To drive a tank. To fly a jet. These all take time, money, and resources, but we can still do it. These are competencies: acquired skills that merely require technical adaptation. Provide enough information and a proper environment in which to learn, and you'll fix the lack of competency.
But if we have to teach a man to be honest, to work as a team instead of for himself, or to be disciplined in his actions, then the organization has to root out the malaise that has infected it. Character takes far more time to create, and the results of a failure of character is far worse than a failure of competence. A change in a person's character is a psychological adaptation: those most always requires a failure of significant proportions to recognize, let alone solve.
Never hire/recruit someone because they'll solve a shortfall in a competency. Hire them because of their strong character and morals. You'll win that bet 10 times out of 10.