Consistency in thought and action is but another name for integrity, that unchanging quality that lives the truth and wears the gospel as a comfortable garment. With God there is “no variation or the slightest hint of change” Jas 1.17. Neither should his people show weakness in faith or wariness before God’s purpose and mission.
Integrity is honesty, sincerity, single focus. Root idea is completeness. A wonderful legacy for one’s children! “The righteous person behaves in integrity; blessed are his children after him” Pr 20.7.